Keywords: منحنی های بیضوی; Cubic curves; Rational points; Counting function; Elliptic curves; Global determinant method; Descent;
مقالات ISI منحنی های بیضوی (ترجمه نشده)
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Keywords: منحنی های بیضوی; 11G05; 11G30; Congruent numbers; Elliptic curves;
Keywords: منحنی های بیضوی; 11G05; 11G18; Torsion subgroup; Elliptic curves; Modular curves;
Keywords: منحنی های بیضوی; 11G07; 11L40; 11N35; Elliptic curves; Isogeny classes; Class number;
Keywords: منحنی های بیضوی; Elliptic curves; Tate-Shafarevich group; Homotopy limit problem; Motivic cohomology; Etale cohomology;
Keywords: منحنی های بیضوی; 11E20; 14K25; 15A60; Unitary bordering matrices; Determinantal ternary forms; Riemann theta functions; Elliptic curves;
Keywords: منحنی های بیضوی; Elliptic curves; Quadratic twists; Mordell-Weil rank;
Keywords: منحنی های بیضوی; Elliptic curves; Function fields of positive characteristics; Prime distributions, Chebotarev density theorem; Group structures; Wild ramification;
Keywords: منحنی های بیضوی; Elliptic curves; Sums of two rational cubes;
Keywords: منحنی های بیضوی; primary; 11G05; 14G05; secondary; 14H52; 11R21; Elliptic curves; Torsion subgroup; Rationals; Quintic number fields;
Keywords: منحنی های بیضوی; 14K15; 14H70; Frobenius lifts; Elliptic curves; Euler top;
Keywords: منحنی های بیضوی; primary; 11G05; secondary; 14G05; Elliptic curves; Torsion subgroups; Quadratic twists;
Keywords: منحنی های بیضوی; Cryptoprocessor; Elliptic curves; Power analysis attacks; Side channel analysis; Scalar multiplication; Dummy operations; Randomized windows;
Keywords: منحنی های بیضوی; 11G50; 11Y40p-adic heights; Kedlaya's algorithm; Elliptic curves; p-adic Birch and Swinnerton-Dyer conjecture
Keywords: منحنی های بیضوی; Frobenius distributions; Trace of Frobenius; Distribution of primes; Elliptic curves; Lang–Trotter conjecture
Keywords: منحنی های بیضوی; 11A55; 11J70; Elliptic curves; Continued fractions; Quadratic fields;
Keywords: منحنی های بیضوی; Elliptic curves; Torsion; Quartic fields; Galois; Modular curves
Keywords: منحنی های بیضوی; Elliptic curves; Density; Distribution
Keywords: منحنی های بیضوی; 14H52; 94A60; 11T71Characteristic 3; Elliptic curves; Chain ring; Cryptography; Discrete Logarithm Problem; Short exact sequence
Keywords: منحنی های بیضوی; primary, 11D41; secondary, 11D72Fermat's Last Theorem; Additive and multiplicative functions; Quadratic fields; Elliptic curves
Keywords: منحنی های بیضوی; Irreducible polynomial iterative constructions; Finite fields; Elliptic curves
Keywords: منحنی های بیضوی; Representation theory; Elliptic curves; Galois representations; Group schemes; p-divisible groups; Abelian varieties;
Keywords: منحنی های بیضوی; 11H06; 11G20; Function fields; Elliptic curves; Well-rounded lattices;
Keywords: منحنی های بیضوی; 53D45; 32S30; 11G05Frobenius manifolds; Singularity theory; Modular forms; Elliptic curves
Keywords: منحنی های بیضوی; primary, 11L07, 11T23; secondary, 11G20Exponential sums; Finite fields; Elliptic curves
Keywords: منحنی های بیضوی; Elliptic curves; Primes; Bateman-Horn conjecture;
Keywords: منحنی های بیضوی; 11G05; 11N45Number fields; Elliptic curves; Torsion points; Grössencharacters; Elliptic curves with CM
Moments of the error term in the Sato-Tate law for elliptic curves
Keywords: منحنی های بیضوی; primary; 11G05; secondary; 11G40; Sato-Tate conjecture; Elliptic curves; Moments; Central Limit Theorem; Traces of Hecke operators;
Cryptanalysis of RSA-type cryptosystems based on Lucas sequences, Gaussian integers and elliptic curves
Keywords: منحنی های بیضوی; RSA; Elliptic curves; Continued fractions; Coppersmith's technique; 94A60; 11Y05;
Frobenius elements in Galois representations with SLn image
Keywords: منحنی های بیضوی; Elliptic curves; Galois representations; Frobenius elements;
Efficient many-core architecture design for cryptanalytic collision search on FPGAs
Keywords: منحنی های بیضوی; Collision search; FPGAs; Elliptic curves; MD5; Pollard rho; Birthday search;
Triples which are D(n)-sets for several n's
Keywords: منحنی های بیضوی; 11D09; 11G05; Diophantine m-tuples; Elliptic curves;
Rank gain of Jacobian varieties over finite Galois extensions
Keywords: منحنی های بیضوی; primary; 14H40; 11G05; secondary; 12E25; 14H30; Jacobian varieties; Elliptic curves; Rank;
Fast elliptic curve point multiplication based on window Non-Adjacent Form method
Keywords: منحنی های بیضوی; Elliptic curves; Scalar multiplication; Lightweight cryptography; Sliding window NAF;
Exceptional zero formulae for anticyclotomic p-adic L-functions of elliptic curves in the ramified case
Keywords: منحنی های بیضوی; Elliptic curves; p-adic L-functions; Iwasawa theory;
Composite genus one Belyi maps
Keywords: منحنی های بیضوی; Dessin d'enfants; Belyi covering; Bipartite graphs; Gauge theories; Elliptic curves; Isogenies;
Elliptic subcovers of a curve of Genus 2 II. The refined Humbert invariant
Keywords: منحنی های بیضوی; Curve covers; Elliptic curves; Jacobian varieties; Abelian surfaces; Neron-Severi group; Binary quadratic forms; Humbert invariant; Legendre curves;
Torsion subgroups of elliptic curves over quadratic cyclotomic fields in elementary abelian 2-extensions
Keywords: منحنی های بیضوی; Elliptic curves; Torsion subgroups; Quadratic cyclotomic fields; Isogenies;
Black Box Galois representations
Keywords: منحنی های بیضوی; Galois representations; Elliptic curves; Automorphic forms;
A generalized attack on RSA type cryptosystems
Keywords: منحنی های بیضوی; RSA; Elliptic curves; Continued fractions; Coppersmith's technique;
On the local-global divisibility of torsion points on elliptic curves and GL2-type varieties
Keywords: منحنی های بیضوی; 11R34; 11G05; 11G10; Galois cohomology; Local-global; Elliptic curves; GL2-type varieties; Quaternionic multiplication;
Root numbers and parity of local Iwasawa invariants
Keywords: منحنی های بیضوی; 11G05; 11G07; 11R23; 14H52; Elliptic curves; Selmer groups; Iwasawa invariants; Root numbers;
Locally potentially equivalent two dimensional Galois representations and Frobenius fields of elliptic curves
Keywords: منحنی های بیضوی; primary, 11F80; secondary, 11G05, 11G15Galois representations; Elliptic curves; Frobenius fields; Complex multiplication
On K-derived quartics
Keywords: منحنی های بیضوی; primary, 11D25; secondary, 11D41, 11G05, 11G30Derived quartics; Elliptic curves; Quadratic fields; Linear factors
Regulators of Siegel units and applications
Keywords: منحنی های بیضوی; 19F27; 11F03; 11F11; 11F67; 11G16Regulators; Modular units; Elliptic curves; L-functions; Mahler measures; Boyd's conjectures; Zagier's conjectures
Class pairings and isogenies on elliptic curves
Keywords: منحنی های بیضوی; Elliptic curves; Ideal class pairing; Idele classes; Isogenies; Weil descent pairing
Uniformization of modular elliptic curves via p-adic periods
Keywords: منحنی های بیضوی; primary, 11G40; secondary, 11F41, 11Y99Modular forms; Elliptic curves; Langlands Programme
Characters of topological NÂ =Â 2 vertex algebras are Jacobi forms on the moduli space of elliptic supercurves
Keywords: منحنی های بیضوی; Vertex algebras; Jacobi forms; Modular invariance; Chiral algebras; Supercurves; Elliptic curves;
Cryptography over the elliptic curve Ea,b(A3)
Keywords: منحنی های بیضوی; 14H52; 94A60; 11T71Finite ring; Elliptic curves; Chain ring; Isomorphism; Cryptography
The distribution of central values of elliptic curve L-functions
Keywords: منحنی های بیضوی; Elliptic curves; L-functions; Random matrix theory