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Elliptic Curves and Modular Forms: Elliptic Curves are related to the solutions to equations y^2 = x^3 + A x + B in the field of rationals - algebraic extensions of the rationals - p-adic rational numbers - or a finite field. They are used in factorization of integers and also played a role in the recent resolution of the conjecture known as Fermat's Last Theorem. Math Number Theory Elliptic Curves and Modular Forms:
 English Science Math Number Theory: Factoring English Science Math Number Theory Diophantine Equations: Fermat's Last Theorem English Science Math Number Theory Prime Numbers Primality Tests: Primality Proving Iwasawa Theory of Elliptic CurvesScience: Iwasawa, Number Theory Elliptic Curves and Modular Forms Lecture notes and surveys by Ralph Greenberg Theory of Elliptic Curves University of Washington ,PS,. ECDL ProjectScience: ECDL, Number Theory Elliptic Curves and Modular Forms Elliptic Curve Discrete Logarithms Project Project They solved ECC2K-108 in April 2000. History and related papers. Matt Baker's PapersScience: Matt, Number Theory Elliptic Curves and Modular Forms Mainly on elliptic curves Baker's Papers . The Birch and Swinnerton-Dyer Conjecture - Elliptic Curves and Modular FormsScience: The Birch, Number Theory Elliptic Curves and Modular Forms A Clay Mathematics Institute Prize problem and SwinnertonDyer Conjecture Elliptic Curves and Modular Forms with description by Andrew Wiles [PDF] and lecture by Fernando Rodriguez-Villegas [.ram]. Monstrous Moonshine - Elliptic Curves and Modular FormsScience: Monstrous, Number Theory Elliptic Curves and Modular Forms the surprising and mysterious connections between the monster Moonshine Elliptic Curves and Modular Forms and also other finite sporadic simple groups, and modular functions. Mathematical ThingsScience: Mathematical, Number Theory Elliptic Curves and Modular Forms Tom Womack's pages address many elliptic curve subjects Things including curves of given rank and small conductor, Mordell curves of large rank, and interesting torsion groups. Elliptic Curves and Elliptic Functions - Elliptic Curves and Modular FormsScience: Elliptic, Number Theory Elliptic Curves and Modular Forms Introductory notes by Charles Daney Curves and Elliptic Functions Elliptic Curves and Modular Forms . Torsion Points on Elliptic CurvesScience: Torsion, Number Theory Elliptic Curves and Modular Forms Elementary introduction and brief explanation of some well-known results Points on Elliptic Curves . Elliptic Curves IIScience: Elliptic, Number Theory Elliptic Curves and Modular Forms Lecture notes by Johan P Curves II Hansen. Elliptic Curves and Formal GroupsScience: Elliptic, Number Theory Elliptic Curves and Modular Forms Lecture notes from a seminar J Curves and Formal Groups Lubin, J.-P. Serre and J. Tate. Elliptic Curves and Their Applications to CryptographyScience: Elliptic, Number Theory Elliptic Curves and Modular Forms Web text by Andreas Enge Curves and Their Applications to Cryptography . Arithmetic of CuvesScience: Arithmetic, Number Theory Elliptic Curves and Modular Forms Papers and surveys by Ed Schaefer of Cuves . Joseph SilvermanScience: Joseph, Number Theory Elliptic Curves and Modular Forms Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves Silverman . Elliptic Curves and Right TrianglesScience: Elliptic, Number Theory Elliptic Curves and Modular Forms Slides Curves and Right Triangles GIF, of lectures by Karl Rubin at Stanford University. Rational Points on Elliptic CurvesScience: Rational, Number Theory Elliptic Curves and Modular Forms A course by Jerrold Tunnell Points on Elliptic Curves An introduction to rational points on elliptic curves through examples. Integer Factorization - Elliptic Curves and Modular FormsScience: Integer, Number Theory Elliptic Curves and Modular Forms · Paul Leyland's list of his own and other factorisations Factorization Elliptic Curves and Modular Forms . I Love Binary, Primes, and Factors - Elliptic Curves and Modular FormsScience: I Love, Number Theory Elliptic Curves and Modular Forms · Divisibility Binary, Primes, and Factors Elliptic Curves and Modular Forms primes and binary numbers. NOVA Online | The Proof - Elliptic Curves and Modular FormsScience: NOVA, Number Theory Elliptic Curves and Modular Forms · NOVA Online presents The Proof Online | The Proof Elliptic Curves and Modular Forms including an interview with Andrew Wiles, an essay on Sophie Germain, and the Pythagorean theorem. Wiles, Ribet, Shimura-Taniyama-Weil and FLTScience: Wiles, Number Theory Elliptic Curves and Modular Forms · A collection of links based on the former e-math gopher archive Ribet, ShimuraTaniyamaWeil and FLT . Yves Gallot's Proth Search Page - Elliptic Curves and Modular FormsScience: Yves, Number Theory Elliptic Curves and Modular Forms · A list of prime number searches using Yves Gallot's proth Gallot's Proth Search Page Elliptic Curves and Modular Forms exe program, available to download. Maintained by Ray Ballinger. Yahoo Groups : PrimeForm - Elliptic Curves and Modular FormsScience: Yahoo, Number Theory Elliptic Curves and Modular Forms · Discussion group for the primality-testing program Groups : PrimeForm Elliptic Curves and Modular Forms PrimeForm. Includes links to the PrimeForm program's home page, contact and download information. Heegner ToolsScience: Heegner, Number Theory Elliptic Curves and Modular Forms · Peter Green's Heegner Points package Tools Requires Linux and Pari/GP 2.1.1 or higher. MWRANKScience: MWRANK, Number Theory Elliptic Curves and Modular Forms · Mordell-Weil rank of elliptic curves over the rationals MWRANK by John Cremona. Rational Points on Elliptic CurvesScience: Rational, Number Theory Elliptic Curves and Modular Forms · A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations Points on Elliptic Curves presented by Hisanori Mishima. Siegel Forms - Elliptic Curves and Modular FormsScience: Siegel, Number Theory Elliptic Curves and Modular Forms · Coefficients of some Siegel automorphic forms Forms Elliptic Curves and Modular Forms by Richard Borcherds. L-Functions - Elliptic Curves and Modular FormsMath Number Theory - Classified by degree Elliptic Curves and Modular Forms then by level, then by eigenvalue, then by root number. Application of Digital RootMath Number Theory - A test for the terms of a sequence being expressed by a polynomial of Digital Root by Roupam Ghosh. Online Seminar: Galois theory of p-Extensions - Elliptic Curves and Modular FormsMath Number Theory - Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch Seminar: Galois theory of pExtensions Elliptic Curves and Modular Forms . A Mechanical Proof of Quadratic Reciprocity - Elliptic Curves and Modular FormsMath Number Theory - A paper by David M Proof of Quadratic Reciprocity Elliptic Curves and Modular Forms Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Quadratic Reciprocity. PS/PDF. Infinite Series TheoremMath Number Theory - Addresses the question whether a series of rational functions converges to a rational number Series Theorem . | |||||||||
