Keywords: منحنی Hyperelliptic; primary; 14G05; secondary; 11G30; 11Y50; Diophantine geometry; Hyperelliptic curves; Rational triangles;
مقالات ISI منحنی Hyperelliptic (ترجمه نشده)
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Keywords: منحنی Hyperelliptic; Square-root parameterization; Hyperelliptic curves; Weierstrass form; Topological graph; Rational approximation;
Keywords: منحنی Hyperelliptic; 11G20; 11T71; 14G50; 14H40; 14H45; Hyperelliptic curves; Genus 2; Divisor class; Bisection; Efficient computation;
Keywords: منحنی Hyperelliptic; Jacobians; Universal Jacobians; Hyperelliptic curves; Compactifications of moduli spaces; Line bundles on hyperelliptic curves
Keywords: منحنی Hyperelliptic; 14Q05; 14G50; 94A62Secret sharing schemes; Hyperelliptic curves; Algebraic-geometric codes
Hyperelliptic Jacobians and isogenies
Keywords: منحنی Hyperelliptic; Isogenies; Jacobians; Hyperelliptic curves; Abelian varieties;
The Oort conjecture on Shimura curves in the Torelli locus of hyperelliptic curves
Keywords: منحنی Hyperelliptic; 11G15; 14G35; 14H40; 14D07; 14K22; Shimura curves; Torelli locus; Complex multiplication; Hyperelliptic curves;
On a family of KP multi-line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non-periodic Toda hierarchy
Keywords: منحنی Hyperelliptic; 37K40; 37K20; 14H50; 14H70; Total positivity; KP equation; Hyperelliptic curves; Duality of Grassmann cells; Space-time inversion; Finite non periodic Toda hierarchy;
Mean values of derivatives of L-functions in function fields: I
Keywords: منحنی Hyperelliptic; Function fields; Hyperelliptic curves; Derivatives of L-functions; Moments of L-functions; Quadratic Dirichlet L-functions; Random matrix theory
Rudnick and Soundararajan's theorem for function fields
Keywords: منحنی Hyperelliptic; primary, 11M38; secondary, 11G20, 11M50, 14G10Function fields; Finite fields; Hyperelliptic curves; Lower bounds for moments; Moments of L-functions; Quadratic Dirichlet L-functions; Random matrix theory
Summation identities and special values of hypergeometric series in the p-adic setting
Keywords: منحنی Hyperelliptic; primary; 11G20; 33E50; secondary; 33C99; 11S80; 11T24; Character of finite fields; Gaussian hypergeometric series; Hyperelliptic curves; Teichmüller character; p-Adic gamma function;
The monotonicity of the ratio of hyperelliptic integrals
Keywords: منحنی Hyperelliptic; primary, 34C08, 34C07; secondary, 14K20Abelian integrals; Monotonicity; Hyperelliptic curves
Conjectures for the integral moments and ratios of L-functions over function fields
Keywords: منحنی Hyperelliptic; primary, 11G20; secondary, 11M50, 14G10Moments of quadratic Dirichlet L-functions; Ratios of L-functions; Finite fields; Function fields; Random matrix theory; Hyperelliptic curves
Abelian surfaces admitting an (l,l)-endomorphism
Keywords: منحنی Hyperelliptic; Abelian surfaces; Isogenies; Modular polynomials and correspondences; Hyperelliptic curves; Hermitian forms; CM points; Humbert surfaces; Shimura curves; Glueing elliptic curves; Complex multiplication; Genus two;
The mean value of L(12,Ï) in the hyperelliptic ensemble
Keywords: منحنی Hyperelliptic; primary; 11G20; 11M50; secondary; 14G10; Moments of quadratic Dirichlet L-functions; Finite fields; Function fields; Random Matrix Theory; Hyperelliptic curves;
Genus 2 point counting over prime fields
Keywords: منحنی Hyperelliptic; Point counting; Hyperelliptic curves; Schoof–Pila algorithm
The rank of the Cartier operator on cyclic covers of the projective line
Keywords: منحنی Hyperelliptic; primary; 14H40; secondary; 11G10; Kummer covers; Hyperelliptic curves; Cartier operator; a-number;
Koblitz curve cryptosystems
Keywords: منحنی Hyperelliptic; Cryptography; Discrete logarithm systems; Hyperelliptic curves; Koblitz curves; Frobenius expansions;
Algebraic curves and cryptography
Keywords: منحنی Hyperelliptic; 94A60; Public-key cryptography; Discrete logarithm problem; Hyperelliptic curves; Elliptic curves;