Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski [[electronic resource]] |
Autore | Koni︠a︡gin S. V (Sergeĭ Vladimirovich) |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 1999 |
Descrizione fisica | 1 online resource (viii, 163 pages) : digital, PDF file(s) |
Disciplina | 512/.73 |
Collana | Cambridge tracts in mathematics |
Soggetto topico | Exponential sums |
ISBN |
1-107-12817-X
1-280-43245-4 9786610432455 0-511-17763-1 0-511-04036-9 0-511-14804-6 0-511-33017-0 0-511-54293-3 0-511-05179-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Preliminaries -- 1. Introduction -- 2. Notation and Auxiliary Results -- pt. 2. Bounds of Character Sums -- 3. Bounds of Long Character Sums -- 4. Bounds of Short Character Sums -- 5. Bounds of Character Sums for Almost All Moduli -- 6. Bounds of Gaussian Sums -- pt. 3. Multiplicative Translations of Sets -- 7. Multiplicative Translations of Subgroups of F*[subscript p] -- 8. Multiplicative Translations of Arbitrary Sets Modulo p -- pt. 4. Applications to Algebraic Number Fields -- 9. Representatives of Residue Classes -- 10. Cyclotomic Fields and Gaussian Periods -- pt. 5. Applications to Pseudo-Random Number Generators -- 11. Prediction of Pseudo-Random Number Generators -- 12. Congruential Pseudo-Random Number Generators -- pt. 6. Applications to Finite Fields -- 13. Small mth Roots Modulo p -- 14. Supersingular Hyperelliptic Curves -- 15. Distribution of Powers of Primitive Roots -- pt. 7. Applications to Coding Theory and Combinatorics -- 16. Difference Sets in V[subscript p] -- 17. Dimension of BCH Codes -- 18. An Enumeration Problem in Finite Fields. |
Altri titoli varianti | Character Sums with Exponential Functions & their Applications |
Record Nr. | UNINA-9910449865203321 |
Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
![]() |
||
Cambridge : , : Cambridge University Press, , 1999 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski [[electronic resource]] |
Autore | Koni︠a︡gin S. V (Sergeĭ Vladimirovich) |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 1999 |
Descrizione fisica | 1 online resource (viii, 163 pages) : digital, PDF file(s) |
Disciplina | 512/.73 |
Collana | Cambridge tracts in mathematics |
Soggetto topico | Exponential sums |
ISBN |
1-107-12817-X
1-280-43245-4 9786610432455 0-511-17763-1 0-511-04036-9 0-511-14804-6 0-511-33017-0 0-511-54293-3 0-511-05179-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Preliminaries -- 1. Introduction -- 2. Notation and Auxiliary Results -- pt. 2. Bounds of Character Sums -- 3. Bounds of Long Character Sums -- 4. Bounds of Short Character Sums -- 5. Bounds of Character Sums for Almost All Moduli -- 6. Bounds of Gaussian Sums -- pt. 3. Multiplicative Translations of Sets -- 7. Multiplicative Translations of Subgroups of F*[subscript p] -- 8. Multiplicative Translations of Arbitrary Sets Modulo p -- pt. 4. Applications to Algebraic Number Fields -- 9. Representatives of Residue Classes -- 10. Cyclotomic Fields and Gaussian Periods -- pt. 5. Applications to Pseudo-Random Number Generators -- 11. Prediction of Pseudo-Random Number Generators -- 12. Congruential Pseudo-Random Number Generators -- pt. 6. Applications to Finite Fields -- 13. Small mth Roots Modulo p -- 14. Supersingular Hyperelliptic Curves -- 15. Distribution of Powers of Primitive Roots -- pt. 7. Applications to Coding Theory and Combinatorics -- 16. Difference Sets in V[subscript p] -- 17. Dimension of BCH Codes -- 18. An Enumeration Problem in Finite Fields. |
Altri titoli varianti | Character Sums with Exponential Functions & their Applications |
Record Nr. | UNINA-9910777087703321 |
Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
![]() |
||
Cambridge : , : Cambridge University Press, , 1999 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski [[electronic resource]] |
Autore | Koni︠a︡gin S. V (Sergeĭ Vladimirovich) |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 1999 |
Descrizione fisica | 1 online resource (viii, 163 pages) : digital, PDF file(s) |
Disciplina | 512/.73 |
Collana | Cambridge tracts in mathematics |
Soggetto topico | Exponential sums |
ISBN |
1-107-12817-X
1-280-43245-4 9786610432455 0-511-17763-1 0-511-04036-9 0-511-14804-6 0-511-33017-0 0-511-54293-3 0-511-05179-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Preliminaries -- 1. Introduction -- 2. Notation and Auxiliary Results -- pt. 2. Bounds of Character Sums -- 3. Bounds of Long Character Sums -- 4. Bounds of Short Character Sums -- 5. Bounds of Character Sums for Almost All Moduli -- 6. Bounds of Gaussian Sums -- pt. 3. Multiplicative Translations of Sets -- 7. Multiplicative Translations of Subgroups of F*[subscript p] -- 8. Multiplicative Translations of Arbitrary Sets Modulo p -- pt. 4. Applications to Algebraic Number Fields -- 9. Representatives of Residue Classes -- 10. Cyclotomic Fields and Gaussian Periods -- pt. 5. Applications to Pseudo-Random Number Generators -- 11. Prediction of Pseudo-Random Number Generators -- 12. Congruential Pseudo-Random Number Generators -- pt. 6. Applications to Finite Fields -- 13. Small mth Roots Modulo p -- 14. Supersingular Hyperelliptic Curves -- 15. Distribution of Powers of Primitive Roots -- pt. 7. Applications to Coding Theory and Combinatorics -- 16. Difference Sets in V[subscript p] -- 17. Dimension of BCH Codes -- 18. An Enumeration Problem in Finite Fields. |
Altri titoli varianti | Character Sums with Exponential Functions & their Applications |
Record Nr. | UNINA-9910812797303321 |
Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
![]() |
||
Cambridge : , : Cambridge University Press, , 1999 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Finite fields and applications : Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia / / Gary L. Mullen, Daniel Panario, Igor E. Shparlinski, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (278 p.) |
Disciplina | 512.7/4 |
Collana | Contemporary mathematics |
Soggetto topico |
Finite fields (Algebra)
Coding theory Cryptography |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-8140-X
0-8218-4309-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Analysis and optimization of elliptic-curve single-scalar multiplication""; ""On influences of Boolean variables and their computation""; ""Subsequences of Sidelnikov sequences""; ""A multi-level blocking distinct-degree factorization algorithm""; ""New bounds on some parameters in the Waring problem for polynomials over a finite field""; ""Dickson polynomial permutations""; ""Ring theoretic study of linear codes using additive polynomials""; ""Toward a complete twin primes theorem for polynomials over finite fields""
""On the distribution of the elliptic curve power generator""""Discrete logarithms in curves over finite fields""; ""Some remarks on the Hasse-Arf theorem""; ""Character sums for sequences of iterations of Dickson polynomials""; ""What can be used instead of a Barker sequence?""; ""Order dividing extension fields and the root computation problem""; ""Kasami bent functions are not equivalent to their duals""; ""Equidistribution of roots of L-function of Gold exponential sum""; ""Reduced linear modular systems""; ""Cocyclic Butson Hadamard matrices and codes over Zn via the trace map"" ""Dickson permutation polynomials that decompose in cycles of the same length""""The simplex code over Galois rings""; ""Finite fields and Galois geometries"" |
Record Nr. | UNINA-9910481050203321 |
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Finite fields and applications : Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia / / Gary L. Mullen, Daniel Panario, Igor E. Shparlinski, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (278 p.) |
Disciplina | 512.7/4 |
Collana | Contemporary mathematics |
Soggetto topico |
Finite fields (Algebra)
Coding theory Cryptography |
ISBN |
0-8218-8140-X
0-8218-4309-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Analysis and optimization of elliptic-curve single-scalar multiplication -- On influences of Boolean variables and their computation -- Subsequences of Sidelnikov sequences -- A multi-level blocking distinct-degree factorization algorithm -- New bounds on some parameters in the Waring problem for polynomials over a finite field -- Dickson polynomial permutations -- Ring theoretic study of linear codes using additive polynomials -- Toward a complete twin primes theorem for polynomials over finite fields -- On the distribution of the elliptic curve power generator -- Discrete logarithms in curves over finite fields -- Some remarks on the Hasse-Arf theorem -- Character sums for sequences of iterations of Dickson polynomials -- What can be used instead of a Barker sequence? -- Order dividing extension fields and the root computation problem -- Kasami bent functions are not equivalent to their duals -- Equidistribution of roots of L-function of Gold exponential sum -- Reduced linear modular systems -- Cocyclic Butson Hadamard matrices and codes over Zn via the trace map -- Dickson permutation polynomials that decompose in cycles of the same length -- The simplex code over Galois rings -- Finite fields and Galois geometries. |
Record Nr. | UNINA-9910788794903321 |
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Finite fields and applications : Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia / / Gary L. Mullen, Daniel Panario, Igor E. Shparlinski, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (278 p.) |
Disciplina | 512.7/4 |
Collana | Contemporary mathematics |
Soggetto topico |
Finite fields (Algebra)
Coding theory Cryptography |
ISBN |
0-8218-8140-X
0-8218-4309-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Analysis and optimization of elliptic-curve single-scalar multiplication -- On influences of Boolean variables and their computation -- Subsequences of Sidelnikov sequences -- A multi-level blocking distinct-degree factorization algorithm -- New bounds on some parameters in the Waring problem for polynomials over a finite field -- Dickson polynomial permutations -- Ring theoretic study of linear codes using additive polynomials -- Toward a complete twin primes theorem for polynomials over finite fields -- On the distribution of the elliptic curve power generator -- Discrete logarithms in curves over finite fields -- Some remarks on the Hasse-Arf theorem -- Character sums for sequences of iterations of Dickson polynomials -- What can be used instead of a Barker sequence? -- Order dividing extension fields and the root computation problem -- Kasami bent functions are not equivalent to their duals -- Equidistribution of roots of L-function of Gold exponential sum -- Reduced linear modular systems -- Cocyclic Butson Hadamard matrices and codes over Zn via the trace map -- Dickson permutation polynomials that decompose in cycles of the same length -- The simplex code over Galois rings -- Finite fields and Galois geometries. |
Record Nr. | UNINA-9910822593303321 |
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Frobenius distributions : Lang-Trotter and Sato-Tate conjectures : Winter School on Frobenius Distributions on Curves, February 17-21, 2014, Workshop on Frobenius Distributions on Curves, February 24-28, 2014, Centre International de Rencontres Mathématiques, Marseille, France / / David Kohel, Igor Shparlinski, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
Descrizione fisica | 1 online resource (250 pages) : illustrations |
Disciplina | 512.7/4 |
Collana | Contemporary Mathematics |
Soggetto topico |
Frobenius algebras
Curves, Algebraic |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-1947-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910480736403321 |
Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Frobenius distributions : Lang-Trotter and Sato-Tate conjectures : Winter School on Frobenius Distributions on Curves, February 17-21, 2014, Workshop on Frobenius Distributions on Curves, February 24-28, 2014, Centre International de Rencontres Mathématiques, Marseille, France / / David Kohel, Igor Shparlinski, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
Descrizione fisica | 1 online resource (250 pages) : illustrations |
Disciplina | 512.7/4 |
Collana | Contemporary mathematics |
Soggetto topico |
Frobenius algebras
Curves, Algebraic |
ISBN | 1-4704-1947-5 |
Classificazione | 11G0511G1011G2011G2511G3511M5011N0511R4414G1014G25 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910789306903321 |
Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Frobenius distributions : Lang-Trotter and Sato-Tate conjectures : Winter School on Frobenius Distributions on Curves, February 17-21, 2014, Workshop on Frobenius Distributions on Curves, February 24-28, 2014, Centre International de Rencontres Mathématiques, Marseille, France / / David Kohel, Igor Shparlinski, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
Descrizione fisica | 1 online resource (250 pages) : illustrations |
Disciplina | 512.7/4 |
Collana | Contemporary mathematics |
Soggetto topico |
Frobenius algebras
Curves, Algebraic |
ISBN | 1-4704-1947-5 |
Classificazione | 11G0511G1011G2011G2511G3511M5011N0511R4414G1014G25 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910822229003321 |
Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Number theory and related fields : in memory of Alf van der Poorten / / Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin, editors |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | New York : , : Springer, , 2013 |
Descrizione fisica | 1 online resource (x, 395 pages) : illustrations |
Disciplina | 512.7 |
Collana | Springer Proceedings in Mathematics & Statistics |
Soggetto topico | Number theory |
ISBN | 1-4614-6642-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Life and Mathematics of Alfred Jacobus van der Poorten (D. Hunt) -- Ramanujan-Sato-Like Series (G. Almkvist, J. Guillera) -- On the Sign of the Real Part of the Riemann Zeta Function (J. Arias de Reyna, R.P. Brent, J. van de Lune) -- Additive Combinatorics with a View Toward Computer Science and Cryptography (K. Bibak) -- Transcendence of Stammering Continued Fractions (Y. Bugeaud) -- Algebraic Independence of Infinite Products and Their Derivatives (P. Bundschuh) -- Small Representations by Indefinite Ternary Quadratic Forms (J.B. Friedlander, H. Iwaniec) -- Congruences for Andrews' SPT-Function Modulo 32760 and Extension of Atkin's Hecke-Type Partition Congruences (F.G. Garvan) -- Continued Fractions and Dedekind Sums for Function Fields (Y. Hamahata) -- Burgess's Bounds for Character Sums (D.R. Heath-Brown).-Structured Hadamard Conjecture (I.S. Kotsireas) -- Families of Cubic Thue Equations with Effective Bounds for the Solutions (C. Levesque, M. Waldschmidt) -- Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros (V. Laohakosol, O. Phuksuwan) -- On Balanced Subgroups of the Multiplicative Group (C. Pomerance, D. Ulmer) -- Some Extensions of the Lucas Functions (E.L. Roettger, H.C. Williams, R.K. Guy) -- The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture (J. Seberry) -- Description of Generalized Continued Fractions by Finite Automata (J. Shallit) -- Some Notes on Weighted Sum Formulae for Double Zeta Values (J. Wan) -- Period(d)ness of L-Values (W. Zudilin). |
Record Nr. | UNINA-9910438153703321 |
New York : , : Springer, , 2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|