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Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
Pubbl/distr/stampa Amsterdam, Netherlands : , : IOS Press, , 2015
Descrizione fisica 1 online resource (387 p.)
Disciplina 516.352
Collana NATO Science for Peace and Security Series - D: Information and Communication Security
Soggetto topico Curves, Elliptic
Cryptography
Soggetto genere / forma Electronic books.
ISBN 1-61499-520-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index""
Record Nr. UNINA-9910460487603321
Amsterdam, Netherlands : , : IOS Press, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
Pubbl/distr/stampa Amsterdam, Netherlands : , : IOS Press, , 2015
Descrizione fisica 1 online resource (387 p.)
Disciplina 516.352
Collana NATO Science for Peace and Security Series - D: Information and Communication Security
Soggetto topico Curves, Elliptic
Cryptography
ISBN 1-61499-520-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index""
Record Nr. UNINA-9910797481803321
Amsterdam, Netherlands : , : IOS Press, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
Pubbl/distr/stampa Amsterdam, Netherlands : , : IOS Press, , 2015
Descrizione fisica 1 online resource (387 p.)
Disciplina 516.352
Collana NATO Science for Peace and Security Series - D: Information and Communication Security
Soggetto topico Curves, Elliptic
Cryptography
ISBN 1-61499-520-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index""
Record Nr. UNINA-9910826170403321
Amsterdam, Netherlands : , : IOS Press, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (532 pages) : illustrations
Disciplina 516.3/5
Collana Annals of Mathematics Studies
Soggetto topico Curves, Elliptic
Moduli theory
Geometry, Algebraic
Soggetto non controllato Abelian variety
Addition
Algebraic variety
Algebraically closed field
Ambient space
Arithmetic
Axiom
Barry Mazur
Base change
Calculation
Canonical map
Change of base
Closed immersion
Coefficient
Coherent sheaf
Cokernel
Commutative property
Congruence relation
Coprime integers
Corollary
Cusp form
Cyclic group
Dense set
Diagram (category theory)
Dimension
Discrete valuation ring
Disjoint union
Divisor
Eigenfunction
Elliptic curve
Empty set
Factorization
Field of fractions
Finite field
Finite group
Finite morphism
Free module
Functor
Group (mathematics)
Integer
Irreducible component
Level structure
Local ring
Maximal ideal
Modular curve
Modular equation
Modular form
Moduli space
Morphism of schemes
Morphism
Neighbourhood (mathematics)
Noetherian
One-parameter group
Open problem
Prime factor
Prime number
Prime power
Q.E.D.
Regularity theorem
Representation theory
Residue field
Riemann hypothesis
Smoothness
Special case
Subgroup
Subring
Subset
Theorem
Topology
Two-dimensional space
Zariski topology
ISBN 1-4008-8171-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter 1. GENERALITIES ON " A-STRUCTURES" AND " A-GENERATORS" -- Chapter 2. REVIEW OF ELLIPTIC CURVES -- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES -- Chapter 4. THE FORMALISM OF MODULI PROBLEMS -- Chapter 5. REGULARITY THEOREMS -- Chapter 6. CYCLICITY -- Chapter 7. QUOTIENTS BY FINITE GROUPS -- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION -- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS -- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS -- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS -- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES -- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS -- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION -- NOTES ADDED IN PROOF -- REFERENCES
Record Nr. UNINA-9910154753303321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Arithmetic on elliptic curves with complex multiplication / / Benedict H. Gross ; with an appendix by B. Mazur
Arithmetic on elliptic curves with complex multiplication / / Benedict H. Gross ; with an appendix by B. Mazur
Autore Gross Benedict H. <1950->
Edizione [1st ed. 1980.]
Pubbl/distr/stampa Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1980]
Descrizione fisica 1 online resource (VIII, 100 p.)
Disciplina 516.352
Collana Lecture notes in mathematics (Springer-Verlag)
Soggetto topico Curves, Elliptic
Multiplication, Complex
ISBN 3-540-38575-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Acknowledgements -- Notation and conventions -- The theory of complex multiplication -- A classification -- Local arithmetic -- Global arithmetic -- The Q-curve A(p).
Record Nr. UNISA-996466629903316
Gross Benedict H. <1950->  
Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1980]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Diophantine m-tuples and elliptic curves / / Andrej Dujella
Diophantine m-tuples and elliptic curves / / Andrej Dujella
Autore Dujella Andrej
Pubbl/distr/stampa Cham : , : Springer, , [2024]
Descrizione fisica 1 online resource (343 pages)
Disciplina 512.7
Collana Developments in mathematics
Soggetto topico Diophantine analysis
Curves, Elliptic
Number theory
Number Theory
ISBN 9783031567247
9783031567230
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Elliptic curves over the rationals -- Elliptic curves induced by Diophantine triples -- Integer points on elliptic curves -- Sets with the property D(n).
Record Nr. UNINA-9910865278903321
Dujella Andrej  
Cham : , : Springer, , [2024]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Elliptic curves [[electronic resource] ] : a computational approach / / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö
Elliptic curves [[electronic resource] ] : a computational approach / / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö
Autore Schmitt Susanne
Pubbl/distr/stampa Berlin ; ; New York, : Walter de Gruyter, c2003
Descrizione fisica 1 online resource (377 p.)
Disciplina 516.3/52
Altri autori (Persone) ZimmerHorst G
Collana De Gruyter studies in mathematics
Soggetto topico Curves, Elliptic
Soggetto genere / forma Electronic books.
ISBN 1-282-19428-3
9786612194283
3-11-019801-0
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Chapter 1. Elliptic curves -- Chapter 2. Elliptic curves over the complex numbers -- Chapter 3. Elliptic curves over finite fields -- Chapter 4. Elliptic curves over local fields -- Chapter 5. The Mordell-Weil theorem and heights -- Chapter 6. Torsion group -- Chapter 7. The rank -- Chapter 8. Basis -- Chapter 9. S-integral points -- Appendix A. Algorithmic theory of diophantine equations -- Appendix B. Multiquadratic number fields -- Back matter
Record Nr. UNINA-9910451756403321
Schmitt Susanne  
Berlin ; ; New York, : Walter de Gruyter, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Elliptic curves [[electronic resource] ] : a computational approach / / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö
Elliptic curves [[electronic resource] ] : a computational approach / / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö
Autore Schmitt Susanne
Pubbl/distr/stampa Berlin ; ; New York, : Walter de Gruyter, c2003
Descrizione fisica 1 online resource (377 p.)
Disciplina 516.3/52
Altri autori (Persone) ZimmerHorst G
Collana De Gruyter studies in mathematics
Soggetto topico Curves, Elliptic
ISBN 1-282-19428-3
9786612194283
3-11-019801-0
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Chapter 1. Elliptic curves -- Chapter 2. Elliptic curves over the complex numbers -- Chapter 3. Elliptic curves over finite fields -- Chapter 4. Elliptic curves over local fields -- Chapter 5. The Mordell-Weil theorem and heights -- Chapter 6. Torsion group -- Chapter 7. The rank -- Chapter 8. Basis -- Chapter 9. S-integral points -- Appendix A. Algorithmic theory of diophantine equations -- Appendix B. Multiquadratic number fields -- Back matter
Record Nr. UNINA-9910782193903321
Schmitt Susanne  
Berlin ; ; New York, : Walter de Gruyter, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Elliptic curves : a computational approach / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö
Elliptic curves : a computational approach / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö
Autore Schmitt, Susanne
Pubbl/distr/stampa Berlin ; New York : Walter de Gruyter, c2003
Descrizione fisica ix, 367 p. ; 25 cm
Disciplina 516.352
Altri autori (Persone) Zimmer, Horst G.author
Collana De Gruyter studies in mathematics ; 3
Soggetto topico Curves, Elliptic
ISBN 3110168081
Classificazione AMS 11G05
LC QA567.2.E44S35
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000648999707536
Schmitt, Susanne  
Berlin ; New York : Walter de Gruyter, c2003
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Elliptic curves : number theory and cryptography / Lawrence C. Washington
Elliptic curves : number theory and cryptography / Lawrence C. Washington
Autore Washington, Lawrence C.
Pubbl/distr/stampa Boca Raton : Chapman & Hall/CRC, c2003
Descrizione fisica xi, 428 p. : ill. ; 24 cm
Disciplina 516.352
Collana Discrete mathematics and its applications
Soggetto topico Curves, Elliptic
Number theory
Cryptography
ISBN 1584883650
Classificazione AMS 11G05
AMS 94A60
LC QA567.2.E44W37
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000495479707536
Washington, Lawrence C.  
Boca Raton : Chapman & Hall/CRC, c2003
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui