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Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno
Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno
Autore Moreno Carlos J.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1983]
Descrizione fisica 1 online resource (202 p.)
Disciplina 512/.7
Collana Contemporary mathematics
Soggetto topico Number theory
Algebraic fields
ISBN 0-8218-7601-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Chapter 0. Introduction""; ""Â1. A historical perspective""; ""Â2. The explicit formulas: motivation""; ""Chapter I. Galois Theory for Infinite Extensions""; ""Â1. Fundamental Theorem of Galois Theory for infinite extensions""; ""Â2. Topological properties of Gal(K'/K)""; ""Â3. Example""; ""Chapter II. Projective Limits""; ""Â1. Basic definitions""; ""Â2. Examples""; ""Â3. Homomorphisms""; ""Chapter III. Elementary Theory of l-adic Integration""; ""Â1. Distributions and measures""; ""Â2. Measures on groups""; ""Â3. Riemann sums""
""Â4. l-adic Haar measures""""Â5. Examples""; ""Chapter IV. Ramification Theory""; ""Â1. The v-function""; ""Â2. Transitivity properties of the v-function""; ""Â3. The different""; ""Â4. Transitivity properties of the different""; ""Â5. Complementary basis""; ""Â6. Fundamental inequality and the C-invariant""; ""Â7. Quotients of Galois groups and Herbrand's Theorem""; ""Chapter V. Multiplicative versus Additive Reduction""; ""Â1. The case of a local field""; ""Â2. The module structure of the unit group""; ""Â3. The case of an elliptic curve""
""Chapter VI. Ramification of Abelian Extensions""""Â1. Index computations""; ""Â2. Main Theorem""; ""Chapter VII. The Weil Groups of a Local Field""; ""Â1. The Frobenius automorphism""; ""Â2. The relative Weil group of a non-archimedean local field""; ""Â3. The absolute Weil group""; ""Â4. The Weil group of an archimedean local field""; ""Â5. The Weil-Deligne group""; ""Appendix: The non-abelian local reciprocity law""; ""Chapter VIII. Shafarevitch's Theorem""; ""Â1. Representations of a simple algebra""; ""Â2. Factor sets""; ""Â3. Subalgebras of central simple algebras""
""Â4. Cyclic algebras""""Â5. Algebras and group extensions""; ""Â6. Powers of central simple algebras""; ""Â7. Generators of the Brauer group""; ""Â8. Structure of the relative Weil group""; ""Â9. Shafarevitch's Theorem""; ""Appendix: I. The Brauer group of central 'simple algebras over K""; ""II. The group H2(G,Kxs)""; ""Chapter IX. The Herbrand Distribution""; ""Â1. The Herbrand distribution: definition and basic facts""; ""Â2. The support of the Herbrand distribution""; ""Â3. Determination of the Herbrand distribution on Gal(Kab/K)""
""Â4. Functoriality properties of the Herbrand distribution""""Â5. The Herbrand distribution and measures on the Weil group""; ""Â6. The integral formula for the Herbrand distribution""; ""Â7. Conductors, the Artin representation, and the Herbrand distribution""; ""Bibliography""; ""Index""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""P""; ""R""; ""S""; ""T""; ""w""
Record Nr. UNINA-9910788780103321
Moreno Carlos J.  
Providence, Rhode Island : , : American Mathematical Society, , [1983]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno
Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno
Autore Moreno Carlos J.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1983]
Descrizione fisica 1 online resource (202 p.)
Disciplina 512/.7
Collana Contemporary mathematics
Soggetto topico Number theory
Algebraic fields
ISBN 0-8218-7601-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Chapter 0. Introduction""; ""Â1. A historical perspective""; ""Â2. The explicit formulas: motivation""; ""Chapter I. Galois Theory for Infinite Extensions""; ""Â1. Fundamental Theorem of Galois Theory for infinite extensions""; ""Â2. Topological properties of Gal(K'/K)""; ""Â3. Example""; ""Chapter II. Projective Limits""; ""Â1. Basic definitions""; ""Â2. Examples""; ""Â3. Homomorphisms""; ""Chapter III. Elementary Theory of l-adic Integration""; ""Â1. Distributions and measures""; ""Â2. Measures on groups""; ""Â3. Riemann sums""
""Â4. l-adic Haar measures""""Â5. Examples""; ""Chapter IV. Ramification Theory""; ""Â1. The v-function""; ""Â2. Transitivity properties of the v-function""; ""Â3. The different""; ""Â4. Transitivity properties of the different""; ""Â5. Complementary basis""; ""Â6. Fundamental inequality and the C-invariant""; ""Â7. Quotients of Galois groups and Herbrand's Theorem""; ""Chapter V. Multiplicative versus Additive Reduction""; ""Â1. The case of a local field""; ""Â2. The module structure of the unit group""; ""Â3. The case of an elliptic curve""
""Chapter VI. Ramification of Abelian Extensions""""Â1. Index computations""; ""Â2. Main Theorem""; ""Chapter VII. The Weil Groups of a Local Field""; ""Â1. The Frobenius automorphism""; ""Â2. The relative Weil group of a non-archimedean local field""; ""Â3. The absolute Weil group""; ""Â4. The Weil group of an archimedean local field""; ""Â5. The Weil-Deligne group""; ""Appendix: The non-abelian local reciprocity law""; ""Chapter VIII. Shafarevitch's Theorem""; ""Â1. Representations of a simple algebra""; ""Â2. Factor sets""; ""Â3. Subalgebras of central simple algebras""
""Â4. Cyclic algebras""""Â5. Algebras and group extensions""; ""Â6. Powers of central simple algebras""; ""Â7. Generators of the Brauer group""; ""Â8. Structure of the relative Weil group""; ""Â9. Shafarevitch's Theorem""; ""Appendix: I. The Brauer group of central 'simple algebras over K""; ""II. The group H2(G,Kxs)""; ""Chapter IX. The Herbrand Distribution""; ""Â1. The Herbrand distribution: definition and basic facts""; ""Â2. The support of the Herbrand distribution""; ""Â3. Determination of the Herbrand distribution on Gal(Kab/K)""
""Â4. Functoriality properties of the Herbrand distribution""""Â5. The Herbrand distribution and measures on the Weil group""; ""Â6. The integral formula for the Herbrand distribution""; ""Â7. Conductors, the Artin representation, and the Herbrand distribution""; ""Bibliography""; ""Index""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""P""; ""R""; ""S""; ""T""; ""w""
Record Nr. UNINA-9910811765303321
Moreno Carlos J.  
Providence, Rhode Island : , : American Mathematical Society, , [1983]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algorithmic Number Theory [[electronic resource] ] : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings / / edited by Wieb Bosma
Algorithmic Number Theory [[electronic resource] ] : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings / / edited by Wieb Bosma
Edizione [1st ed. 2000.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000
Descrizione fisica 1 online resource (IX, 612 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Number theory
Data encryption (Computer science)
Algorithms
Computer science—Mathematics
Number Theory
Cryptology
Algorithm Analysis and Problem Complexity
Symbolic and Algebraic Manipulation
Discrete Mathematics in Computer Science
ISBN 3-540-44994-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Invited Talks -- The Complexity of Some Lattice Problems -- Rational Points Near Curves and Small Nonzero | x 3 ? y 2| via Lattice Reduction -- Coverings of Curves of Genus 2 -- Lattice Reduction in Cryptology: An Update -- Contributed Papers -- Construction of Secure C ab Curves Using Modular Curves -- Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions -- New Results on Lattice Basis Reduction in Practice -- Baby-Step Giant-Step Algorithms for Non-uniform Distributions -- On Powers as Sums of Two Cubes -- Factoring Polynomials over ?-Adic Fields -- Strategies in Filtering in the Number Field Sieve -- Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments -- Computing Special Values of Partial Zeta Functions -- Construction of Tables of Quartic Number Fields -- Counting Discriminants of Number Fields of Degree up to Four -- On Reconstruction of Algebraic Numbers -- Dissecting a Sieve to Cut Its Need for Space -- Counting Points on Hyperelliptic Curves over Finite Fields -- Modular Forms for GL(3) and Galois Representations -- Modular Symbols and Hecke Operators -- Fast Jacobian Group Arithmetic on C ab Curves -- Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem -- A One Round Protocol for Tripartite Diffie–Hellman -- On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields -- Component Groups of Quotients of J 0(N) -- Fast Computation of Relative Class Numbers of CM-Fields -- On Probable Prime Testing and the Computation of Square Roots mod n -- Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves -- Central Values of Artin L-Functions for Quaternion Fields -- The Pseudoprimes up to 1013 -- Computing the Number of Goldbach Partitions up to 5 108 -- Numerical Verification of the Brumer-Stark Conjecture -- Explicit Models of Genus 2 Curves with Split CM -- Reduction in Purely Cubic Function Fields of Unit Rank One -- Factorization in the Composition Algebras -- A Fast Algorithm for Approximately Counting Smooth Numbers -- Computing All Integer Solutions of a General Elliptic Equation -- A Note on Shanks’s Chains of Primes -- Asymptotically Fast Discrete Logarithms in Quadratic Number Fields -- Asymptotically Fast GCD Computation in ?[i].
Record Nr. UNISA-996465944303316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Algorithmic Number Theory [[electronic resource] ] : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings / / edited by Wieb Bosma
Algorithmic Number Theory [[electronic resource] ] : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings / / edited by Wieb Bosma
Edizione [1st ed. 2000.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000
Descrizione fisica 1 online resource (IX, 612 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Number theory
Data encryption (Computer science)
Algorithms
Computer science—Mathematics
Number Theory
Cryptology
Algorithm Analysis and Problem Complexity
Symbolic and Algebraic Manipulation
Discrete Mathematics in Computer Science
ISBN 3-540-44994-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Invited Talks -- The Complexity of Some Lattice Problems -- Rational Points Near Curves and Small Nonzero | x 3 ? y 2| via Lattice Reduction -- Coverings of Curves of Genus 2 -- Lattice Reduction in Cryptology: An Update -- Contributed Papers -- Construction of Secure C ab Curves Using Modular Curves -- Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions -- New Results on Lattice Basis Reduction in Practice -- Baby-Step Giant-Step Algorithms for Non-uniform Distributions -- On Powers as Sums of Two Cubes -- Factoring Polynomials over ?-Adic Fields -- Strategies in Filtering in the Number Field Sieve -- Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments -- Computing Special Values of Partial Zeta Functions -- Construction of Tables of Quartic Number Fields -- Counting Discriminants of Number Fields of Degree up to Four -- On Reconstruction of Algebraic Numbers -- Dissecting a Sieve to Cut Its Need for Space -- Counting Points on Hyperelliptic Curves over Finite Fields -- Modular Forms for GL(3) and Galois Representations -- Modular Symbols and Hecke Operators -- Fast Jacobian Group Arithmetic on C ab Curves -- Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem -- A One Round Protocol for Tripartite Diffie–Hellman -- On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields -- Component Groups of Quotients of J 0(N) -- Fast Computation of Relative Class Numbers of CM-Fields -- On Probable Prime Testing and the Computation of Square Roots mod n -- Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves -- Central Values of Artin L-Functions for Quaternion Fields -- The Pseudoprimes up to 1013 -- Computing the Number of Goldbach Partitions up to 5 108 -- Numerical Verification of the Brumer-Stark Conjecture -- Explicit Models of Genus 2 Curves with Split CM -- Reduction in Purely Cubic Function Fields of Unit Rank One -- Factorization in the Composition Algebras -- A Fast Algorithm for Approximately Counting Smooth Numbers -- Computing All Integer Solutions of a General Elliptic Equation -- A Note on Shanks’s Chains of Primes -- Asymptotically Fast Discrete Logarithms in Quadratic Number Fields -- Asymptotically Fast GCD Computation in ?[i].
Record Nr. UNINA-9910768443603321
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algorithmic Number Theory [[electronic resource] ] : Third International Symposium, ANTS-III, Portland, Orgeon, USA, June 21-25, 1998, Proceedings / / edited by Joe P. Buhler
Algorithmic Number Theory [[electronic resource] ] : Third International Symposium, ANTS-III, Portland, Orgeon, USA, June 21-25, 1998, Proceedings / / edited by Joe P. Buhler
Edizione [1st ed. 1998.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998
Descrizione fisica 1 online resource (X, 646 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Computers
Number theory
Computer science—Mathematics
Algorithms
Data encryption (Computer science)
Theory of Computation
Number Theory
Symbolic and Algebraic Manipulation
Algorithm Analysis and Problem Complexity
Cryptology
ISBN 3-540-69113-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Shimura curve computations -- The Decision Diffie-Hellman problem -- Parallel implementation of Schönhage's integer GCD algorithm -- The complete analysis of the binary Euclidean algorithm -- Cyclotomy primality proving — Recent developments -- Primality proving using elliptic curves: An update -- Bounding smooth integers (extended abstract) -- Factorization of the numbers of the form m 3 + c 2 m 2 + c 1 m + c 0 -- Modelling the yield of number field sieve polynomials -- A Montgomery-like square root for the Number Field Sieve -- Robert Bennion's “hopping sieve” -- Trading time for space in prime number sieves -- Do sums of 4 biquadrates have a positive density? -- New experimental results concerning the Goldbach conjecture -- Dense admissible sets -- An analytic approach to smooth polynomials over finite fields -- Generating a product of three primes with an unknown factorization -- On the performance of signature schemes based on elliptic curves -- NTRU: A ring-based public key cryptosystem -- Finding length-3 positive Cunningham chains and their cryptographic significance -- Reducing ideal arithmetic to linear algebra problems -- Evaluation of linear relations between vectors of a lattice in euclidean space -- An efficient parallel block-reduction algorithm -- Fast multiprecision evaluation of series of rational numbers -- A problem concerning a character sum -- Formal power series and their continued fraction expansion -- Imprimitive octic fields with small discriminants -- A table of totally complex number fields of small discriminants -- Generating arithmetically equivalent number fields with elliptic curves -- Computing the lead term of an abelian L-function -- Timing analysis of targeted hunter searches -- On successive minima of rings of algebraic integers -- Computation of relative quadratic class groups -- Generating class fields using Shimura reciprocity -- Irregularity of prime numbers over real quadratic fields -- Experimental results on class groups of real quadratic fields -- Computation of relative class numbers of imaginary cyclic fields of 2-power degrees -- Formal groups, elliptic curves, and some theorems of Couveignes -- A comparison of direct and indirect methods for computing Selmer groups of an elliptic curve -- An algorithm for approximate counting of points on algebraic sets over finite fields -- S-integral points on elliptic curves and Fermat's triple equations -- Speeding up Pollard's rho method for computing discrete logarithms -- A general method of constructing global function fields with many rational places -- Lattice basis reduction in function fields -- Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves -- Unit computation in purely cubic function fields of unit rank 1 -- An improved method of computing the regulator of a real quadratic function field -- The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2.
Record Nr. UNINA-9910143504203321
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algorithmic Number Theory [[electronic resource] ] : Third International Symposium, ANTS-III, Portland, Orgeon, USA, June 21-25, 1998, Proceedings / / edited by Joe P. Buhler
Algorithmic Number Theory [[electronic resource] ] : Third International Symposium, ANTS-III, Portland, Orgeon, USA, June 21-25, 1998, Proceedings / / edited by Joe P. Buhler
Edizione [1st ed. 1998.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998
Descrizione fisica 1 online resource (X, 646 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Computers
Number theory
Computer science—Mathematics
Algorithms
Data encryption (Computer science)
Theory of Computation
Number Theory
Symbolic and Algebraic Manipulation
Algorithm Analysis and Problem Complexity
Cryptology
ISBN 3-540-69113-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Shimura curve computations -- The Decision Diffie-Hellman problem -- Parallel implementation of Schönhage's integer GCD algorithm -- The complete analysis of the binary Euclidean algorithm -- Cyclotomy primality proving — Recent developments -- Primality proving using elliptic curves: An update -- Bounding smooth integers (extended abstract) -- Factorization of the numbers of the form m 3 + c 2 m 2 + c 1 m + c 0 -- Modelling the yield of number field sieve polynomials -- A Montgomery-like square root for the Number Field Sieve -- Robert Bennion's “hopping sieve” -- Trading time for space in prime number sieves -- Do sums of 4 biquadrates have a positive density? -- New experimental results concerning the Goldbach conjecture -- Dense admissible sets -- An analytic approach to smooth polynomials over finite fields -- Generating a product of three primes with an unknown factorization -- On the performance of signature schemes based on elliptic curves -- NTRU: A ring-based public key cryptosystem -- Finding length-3 positive Cunningham chains and their cryptographic significance -- Reducing ideal arithmetic to linear algebra problems -- Evaluation of linear relations between vectors of a lattice in euclidean space -- An efficient parallel block-reduction algorithm -- Fast multiprecision evaluation of series of rational numbers -- A problem concerning a character sum -- Formal power series and their continued fraction expansion -- Imprimitive octic fields with small discriminants -- A table of totally complex number fields of small discriminants -- Generating arithmetically equivalent number fields with elliptic curves -- Computing the lead term of an abelian L-function -- Timing analysis of targeted hunter searches -- On successive minima of rings of algebraic integers -- Computation of relative quadratic class groups -- Generating class fields using Shimura reciprocity -- Irregularity of prime numbers over real quadratic fields -- Experimental results on class groups of real quadratic fields -- Computation of relative class numbers of imaginary cyclic fields of 2-power degrees -- Formal groups, elliptic curves, and some theorems of Couveignes -- A comparison of direct and indirect methods for computing Selmer groups of an elliptic curve -- An algorithm for approximate counting of points on algebraic sets over finite fields -- S-integral points on elliptic curves and Fermat's triple equations -- Speeding up Pollard's rho method for computing discrete logarithms -- A general method of constructing global function fields with many rational places -- Lattice basis reduction in function fields -- Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves -- Unit computation in purely cubic function fields of unit rank 1 -- An improved method of computing the regulator of a real quadratic function field -- The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2.
Record Nr. UNISA-996466157603316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Algorithmic Number Theory [[electronic resource] ] : Second International Symposium, ANTS-II, Talence, France, May 18 - 23, 1996, Proceedings / / edited by Henri Cohen
Algorithmic Number Theory [[electronic resource] ] : Second International Symposium, ANTS-II, Talence, France, May 18 - 23, 1996, Proceedings / / edited by Henri Cohen
Edizione [1st ed. 1996.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996
Descrizione fisica 1 online resource (X, 414 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Computers
Algebra
Algorithms
Data encryption (Computer science)
Computer science—Mathematics
Number theory
Theory of Computation
Algorithm Analysis and Problem Complexity
Cryptology
Discrete Mathematics in Computer Science
Number Theory
ISBN 3-540-70632-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Counting rational points on curves and abelian varieties over finite fields -- Computing cubic fields in quasi-linear time -- Fast ideal arithmetic via lazy localization -- A comparative study of algorithms for computing continued fractions of algebraic numbers -- Computing ray class groups, conductors and discriminants -- Computing l-isogenies using the p-torsion -- On computing Hilbert class fields of prime degree -- On the reduction of composed relations from the number field sieve -- Checking the p-adic stark conjecture when p is archimedean -- A multiple polynomial general number field sieve -- Construction of high-rank elliptic curves over Q and Q(t) with non-trivial 2-torsion -- The height on an abelian variety -- On lattices over number fields -- Minimum discriminants of primitive sextic fields -- A new algorithm and refined bounds for extended gcd computation -- Application of thue equations to computing power integral bases in algebraic number fields -- Computing S-integral points on elliptic curves -- Probabilistic computation of the Smith normal form of a sparse integer matrix -- Ray class field constructions of curves over finite fields with many rational points -- Computing isogenies in F2n -- A computational technique for determining relative class numbers of CM-fields -- Old and new deterministic factoring algorithms -- Efficient algorithms for computing the Jacobi symbol -- The number field database on the World Wide web server http://hasse.mathematik.tu-muenchen.de/ -- An algorithm of subexponential type computing the class group of quadratic orders over principal ideal domains -- Computational aspects of Kummer theory -- On integral basis reduction in global function fields -- Computational aspects of curves of genus at least 2 -- The complexity of approximate optima for greatest common divisor computations -- Compact representation in real quadratic congruence function fields -- Discrete logarithms: The effectiveness of the index calculus method -- How difficult is it to solve a thue equation? -- Elliptic congruence function fields -- Algebraic geometry lattices and codes -- Computing discrete logarithms with the general number field sieve.
Record Nr. UNISA-996465629503316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Algorithmic Number Theory [[electronic resource] ] : First International Symposium, ANTS-I, Ithaca, NY, USA, May 6 - 9, 1994. Proceedings / / edited by Leonard M. Adleman, Ming-Deh Huang
Algorithmic Number Theory [[electronic resource] ] : First International Symposium, ANTS-I, Ithaca, NY, USA, May 6 - 9, 1994. Proceedings / / edited by Leonard M. Adleman, Ming-Deh Huang
Edizione [1st ed. 1994.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Descrizione fisica 1 online resource (X, 320 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Data structures (Computer science)
Number theory
Discrete mathematics
Computer science—Mathematics
Algorithms
Combinatorics
Data Structures
Number Theory
Discrete Mathematics
Symbolic and Algebraic Manipulation
Algorithm Analysis and Problem Complexity
ISBN 3-540-49044-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto On the difficulty of finding reliable witnesses -- Density computations for real quadratic 2-class groups -- Lattice sieving and trial division -- A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields -- Computing rates of growth of division fields on CM Abelian varieties -- Algorithms for CM-Fields -- Schoof's algorithm and isogeny cycles -- Integer points on rational elliptic curves -- Counting the number of points on elliptic curves over finite fields of characteristic greater than three -- Straight-line complexity and integer factorization -- Decomposition of algebraic functions -- A new modular interpolation algorithm for factoring multivariate polynomials -- The function field sieve -- Heegner point computations -- Computing the degree of a modular parametrization -- Galois representations from the cohomology of SL(3,?) -- An analysis of the Gaussian algorithm for lattice reduction -- A fast variant of the Gaussian reduction algorithm -- Reducing lattice bases by means of approximations -- Analysis of a left-shift binary GCD algorithm -- The complexity of greatest common divisor computations -- Explicit formulas for units in certain quadratic number fields -- Factorization of polynomials over finite fields in subexponential time under GRH -- On orders of optimal normal basis generators -- Computing in the jacobian of a plane algebraic curve -- Under the assumption of the Generalized Riemann Hypothesis verifying the class number belongs to NP ? co-NP -- Calculating the class number of certain Hilbert class fields -- Efficient checking of computations in number theory -- Constructing elliptic curves with given group order over large finite fields -- Computing ?(x), M(x) and ?(x) -- On some applications of finitely generated semi-groups -- Improved incremental prime number sieves -- Polynomial time algorithms for discrete logarithms and factoring on a quantum computer -- On dispersion and Markov constants -- Open problems in number theoretic complexity, II.
Record Nr. UNISA-996466151203316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Ant Algorithms [[electronic resource] ] : Third International Workshop, ANTS 2002, Brussels, Belgium, September 12-14, 2002. Proceedings / / edited by Marco Dorigo, Gianni Di Caro, Michael Sampels
Ant Algorithms [[electronic resource] ] : Third International Workshop, ANTS 2002, Brussels, Belgium, September 12-14, 2002. Proceedings / / edited by Marco Dorigo, Gianni Di Caro, Michael Sampels
Edizione [1st ed. 2002.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Descrizione fisica 1 online resource (XIV, 310 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Computer communication systems
Artificial intelligence
Computer programming
Algorithms
Computers
Numerical analysis
Computer Communication Networks
Artificial Intelligence
Programming Techniques
Algorithm Analysis and Problem Complexity
Computation by Abstract Devices
Numeric Computing
ISBN 3-540-45724-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A MAX-MIN Ant System for the University Course Timetabling Problem -- A MAX-MIN Ant System for the University Course Timetabling Problem -- ACO Applied to Group Shop Scheduling: A Case Study on Intensification and Diversification -- ACO Applied to Group Shop Scheduling: A Case Study on Intensification and Diversification -- Agent-Based Approach to Dynamic Task Allocation -- Agent-Based Approach to Dynamic Task Allocation -- An Ant Colony Optimization Algorithm for the 2D HP Protein Folding Problem -- An Ant Colony Optimization Algorithm for the 2D HP Protein Folding Problem -- An Experimental Study of a Simple Ant Colony System for the Vehicle Routing Problem with Time Windows -- An Experimental Study of a Simple Ant Colony System for the Vehicle Routing Problem with Time Windows -- Ant Algorithms for Assembly Line Balancing -- Ant Algorithms for Assembly Line Balancing -- Ant Colonies as Logistic Processes Optimizers -- Ant Colonies as Logistic Processes Optimizers -- Ant Systems for a Dynamic TSP -- Ant Systems for a Dynamic TSP -- Anti-pheromone as a Tool for Better Exploration of Search Space -- Anti-pheromone as a Tool for Better Exploration of Search Space -- Applying Population Based ACO to Dynamic Optimization Problems -- Applying Population Based ACO to Dynamic Optimization Problems -- Cross-Entropy Guided Ant-Like Agents Finding Cyclic Paths in Scarcely Meshed Networks -- Cross-Entropy Guided Ant-Like Agents Finding Cyclic Paths in Scarcely Meshed Networks -- Insertion Based Ants for Vehicle Routing Problems with Backhauls and Time Windows -- Insertion Based Ants for Vehicle Routing Problems with Backhauls and Time Windows -- Modelling ACO: Composed Permutation Problems -- Modelling ACO: Composed Permutation Problems -- Self-Organized Networks of Galleries in the Ant Messor Sancta -- Self-Organized Networks of Galleries in the Ant Messor Sancta -- Solving the Homogeneous Probabilistic Traveling Salesman Problem by the ACO Metaheuristic -- Solving the Homogeneous Probabilistic Traveling Salesman Problem by the ACO Metaheuristic -- Toward the Formal Foundation of Ant Programming -- Toward the Formal Foundation of Ant Programming -- Towards Building Terrain-Covering Ant Robots -- Towards Building Terrain-Covering Ant Robots -- Short Papers -- A New Ant Colony Algorithm Using the Heterarchical Concept Aimed at Optimization of Multiminima Continuous Functions -- An Ant-Based Framework for Very Strongly Constrained Problems -- Analysis of the Best-Worst Ant System and Its Variants on the QAP -- Ants and Loops -- Candidate Set Strategies for Ant Colony Optimisation -- Dynamic Wavelength Routing in WDM Networks via Ant Colony Optimization -- Homogeneous Ants for Web Document Similarity Modeling and Categorization -- Parallel Ant System for the Set Covering Problem -- Real-World Shop Floor Scheduling by Ant Colony Optimization -- Simulation of Nest Assessment Behavior by Ant Scouts -- Using Genetic Algorithms to Optimize ACS-TSP -- Posters -- A Method for Solving Optimization Problems in Continuous Space Using Ant Colony Algorithm -- A Nested Layered Threshold Model for Dynamic Task Allocation -- ACO Algorithm with Additional Reinforcement -- Ant Colony System for Image Segmentation Using Markov Random Field -- Bidimensional Shapes Polygonalization by ACO -- Coevolutionary Ant Algorithms Playing Games -- GAACO: A GA + ACO Hybrid for Faster and Better Search Capability -- GPS Positioning Networks Design: An Application of the Ant Colony System.
Record Nr. UNINA-9910143893103321
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Ant Algorithms [[electronic resource] ] : Third International Workshop, ANTS 2002, Brussels, Belgium, September 12-14, 2002. Proceedings / / edited by Marco Dorigo, Gianni Di Caro, Michael Sampels
Ant Algorithms [[electronic resource] ] : Third International Workshop, ANTS 2002, Brussels, Belgium, September 12-14, 2002. Proceedings / / edited by Marco Dorigo, Gianni Di Caro, Michael Sampels
Edizione [1st ed. 2002.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Descrizione fisica 1 online resource (XIV, 310 p.)
Disciplina 512/.7
Collana Lecture Notes in Computer Science
Soggetto topico Computer communication systems
Artificial intelligence
Computer programming
Algorithms
Computers
Numerical analysis
Computer Communication Networks
Artificial Intelligence
Programming Techniques
Algorithm Analysis and Problem Complexity
Computation by Abstract Devices
Numeric Computing
ISBN 3-540-45724-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A MAX-MIN Ant System for the University Course Timetabling Problem -- A MAX-MIN Ant System for the University Course Timetabling Problem -- ACO Applied to Group Shop Scheduling: A Case Study on Intensification and Diversification -- ACO Applied to Group Shop Scheduling: A Case Study on Intensification and Diversification -- Agent-Based Approach to Dynamic Task Allocation -- Agent-Based Approach to Dynamic Task Allocation -- An Ant Colony Optimization Algorithm for the 2D HP Protein Folding Problem -- An Ant Colony Optimization Algorithm for the 2D HP Protein Folding Problem -- An Experimental Study of a Simple Ant Colony System for the Vehicle Routing Problem with Time Windows -- An Experimental Study of a Simple Ant Colony System for the Vehicle Routing Problem with Time Windows -- Ant Algorithms for Assembly Line Balancing -- Ant Algorithms for Assembly Line Balancing -- Ant Colonies as Logistic Processes Optimizers -- Ant Colonies as Logistic Processes Optimizers -- Ant Systems for a Dynamic TSP -- Ant Systems for a Dynamic TSP -- Anti-pheromone as a Tool for Better Exploration of Search Space -- Anti-pheromone as a Tool for Better Exploration of Search Space -- Applying Population Based ACO to Dynamic Optimization Problems -- Applying Population Based ACO to Dynamic Optimization Problems -- Cross-Entropy Guided Ant-Like Agents Finding Cyclic Paths in Scarcely Meshed Networks -- Cross-Entropy Guided Ant-Like Agents Finding Cyclic Paths in Scarcely Meshed Networks -- Insertion Based Ants for Vehicle Routing Problems with Backhauls and Time Windows -- Insertion Based Ants for Vehicle Routing Problems with Backhauls and Time Windows -- Modelling ACO: Composed Permutation Problems -- Modelling ACO: Composed Permutation Problems -- Self-Organized Networks of Galleries in the Ant Messor Sancta -- Self-Organized Networks of Galleries in the Ant Messor Sancta -- Solving the Homogeneous Probabilistic Traveling Salesman Problem by the ACO Metaheuristic -- Solving the Homogeneous Probabilistic Traveling Salesman Problem by the ACO Metaheuristic -- Toward the Formal Foundation of Ant Programming -- Toward the Formal Foundation of Ant Programming -- Towards Building Terrain-Covering Ant Robots -- Towards Building Terrain-Covering Ant Robots -- Short Papers -- A New Ant Colony Algorithm Using the Heterarchical Concept Aimed at Optimization of Multiminima Continuous Functions -- An Ant-Based Framework for Very Strongly Constrained Problems -- Analysis of the Best-Worst Ant System and Its Variants on the QAP -- Ants and Loops -- Candidate Set Strategies for Ant Colony Optimisation -- Dynamic Wavelength Routing in WDM Networks via Ant Colony Optimization -- Homogeneous Ants for Web Document Similarity Modeling and Categorization -- Parallel Ant System for the Set Covering Problem -- Real-World Shop Floor Scheduling by Ant Colony Optimization -- Simulation of Nest Assessment Behavior by Ant Scouts -- Using Genetic Algorithms to Optimize ACS-TSP -- Posters -- A Method for Solving Optimization Problems in Continuous Space Using Ant Colony Algorithm -- A Nested Layered Threshold Model for Dynamic Task Allocation -- ACO Algorithm with Additional Reinforcement -- Ant Colony System for Image Segmentation Using Markov Random Field -- Bidimensional Shapes Polygonalization by ACO -- Coevolutionary Ant Algorithms Playing Games -- GAACO: A GA + ACO Hybrid for Faster and Better Search Capability -- GPS Positioning Networks Design: An Application of the Ant Colony System.
Record Nr. UNISA-996465516903316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui