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Elliptic Curves and Modular Forms: English: Science: Math: Number Theory:

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:
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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

Elliptic Curves and Formal Groups - Elliptic Curves and Modular Forms
Science: Elliptic, Number Theory Elliptic Curves and Modular Forms
Lecture notes from a seminar J Curves and Formal Groups Elliptic Curves and Modular Forms Lubin, J.-P. Serre and J. Tate.
Monstrous Moonshine
Science: Monstrous, Number Theory Elliptic Curves and Modular Forms
the surprising and mysterious connections between the monster Moonshine and also other finite sporadic simple groups, and modular functions.
Elliptic Curves and Their Applications to Cryptography - Elliptic Curves and Modular Forms
Science: Elliptic, Number Theory Elliptic Curves and Modular Forms
Web text by Andreas Enge Curves and Their Applications to Cryptography Elliptic Curves and Modular Forms .
Matt Baker's Papers - Elliptic Curves and Modular Forms
Science: Matt, Number Theory Elliptic Curves and Modular Forms
Mainly on elliptic curves Baker's Papers Elliptic Curves and Modular Forms .
Elliptic Curves Handout
Science: Elliptic, Number Theory Elliptic Curves and Modular Forms
Syllabus and detailed reading list by Miles Reid Curves Handout University of Warwick.
14H52: Elliptic Curves
Science: 14H52, Number Theory Elliptic Curves and Modular Forms
From the Known Math series Elliptic Curves .
Rational Points on Elliptic Curves - Elliptic Curves and Modular Forms
Science: Rational, Number Theory Elliptic Curves and Modular Forms
A course by Jerrold Tunnell Points on Elliptic Curves Elliptic Curves and Modular Forms An introduction to rational points on elliptic curves through examples.
Elliptic Divisibility Sequences
Science: Elliptic, Number Theory Elliptic Curves and Modular Forms
Articles and links Divisibility Sequences compiled by Graham Everest.
Elliptic Curves II
Science: Elliptic, Number Theory Elliptic Curves and Modular Forms
Lecture notes by Johan P Curves II Hansen.
Modularity of Elliptic Curves and Beyond - Elliptic Curves and Modular Forms
Science: Modularity, Number Theory Elliptic Curves and Modular Forms
Workshop of Elliptic Curves and Beyond Elliptic Curves and Modular Forms MSRI Berkeley, 6-10 December 1999.
Elliptic Curves
Science: Elliptic, Number Theory Elliptic Curves and Modular Forms
Links to research papers maintained by Stéfane Fermigier Curves .
Modular Forms Course
Science: Modular, Number Theory Elliptic Curves and Modular Forms
Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators Forms Course .
Course Notes
Science: Course, Number Theory Elliptic Curves and Modular Forms
Full notes as Notes dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
An Elementary Introduction to Elliptic Curves
Science: An Elementary, Number Theory Elliptic Curves and Modular Forms
By Len Charlap Introduction to Elliptic Curves David Robbins and Raymond Coley. Downloadable text in PostScript ,.ps, format.
Iwasawa Theory of Elliptic Curves
Science: Iwasawa, Number Theory Elliptic Curves and Modular Forms
Lecture notes and surveys by Ralph Greenberg Theory of Elliptic Curves University of Washington ,PS,.
Paul Herman's Factoring Page
Science: Paul, Number Theory Elliptic Curves and Modular Forms
· A thorough summary of many major factoring methods Herman's Factoring Page Includes some source code on many pages, gentle introductions to the more complex methods and further links.
I Love Binary, Primes, and Factors
Science: I Love, Number Theory Elliptic Curves and Modular Forms
· Divisibility Binary, Primes, and Factors primes and binary numbers.
BBC Horizon Documentary - Elliptic Curves and Modular Forms
Science: BBC Horizon, Number Theory Elliptic Curves and Modular Forms
· Includes transcript of the programme Documentary Elliptic Curves and Modular Forms .
The Beal Conjecture - Elliptic Curves and Modular Forms
Science: The Beal, Number Theory Elliptic Curves and Modular Forms
· $75 Conjecture Elliptic Curves and Modular Forms 000 prized problem pertaining to the Diophantine equation of the form A^x + B^y = C^z where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then A, B and C must have a common factor.
Yahoo Groups : PrimeForm
Science: Yahoo, Number Theory Elliptic Curves and Modular Forms
· Discussion group for the primality-testing program Groups : PrimeForm PrimeForm. Includes links to the PrimeForm program's home page, contact and download information.
Lucas's Primality Test With Factored N-1 - Elliptic Curves and Modular Forms
Science: Lucas's, Number Theory Elliptic Curves and Modular Forms
· Kevin Brown explains the mathematics behind the classical "N-1" primality proving algorithm Primality Test With Factored N1 Elliptic Curves and Modular Forms .
The CAGE Project
Science: The CAGE, Number Theory Elliptic Curves and Modular Forms
· Classes for Algebraic Geometry and Ellliptic Curves Project implemented in C++.
Code to Compute Heights on Elliptic Curves
Science: Code, Number Theory Elliptic Curves and Modular Forms
· Magma implementation of Silverman's algorithm to compute the canonical height on an elliptic curve over a number field or function field to Compute Heights on Elliptic Curves by Martine Girard.
Drinfeld Modules
Science: Drinfeld, Number Theory Elliptic Curves and Modular Forms
· Complete tables of sign-normalized Modules rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16.
Elliptic Curves with Unusual Torsion - Elliptic Curves and Modular Forms
Science: Elliptic, Number Theory Elliptic Curves and Modular Forms
· Two tables: the smallest conductor observed for a given rank and torsion Curves with Unusual Torsion Elliptic Curves and Modular Forms and the smallest conductor observed among curves of rank zero with a given Sha and torsion. Maintained by Tom Womack.
Square-free Gaps - Elliptic Curves and Modular Forms
Math Number Theory
- Algorithm and source code for the calculation of square-free numbers and gaps Gaps Elliptic Curves and Modular Forms .
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function - Elliptic Curves and Modular Forms
Math Number Theory
- Lecture notes by Alain Connes Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function Elliptic Curves and Modular Forms .
Visible Structures in Number Theory - Elliptic Curves and Modular Forms
Math Number Theory
- By Peter Borwein and Loki Jörgenson Structures in Number Theory Elliptic Curves and Modular Forms Recognising number patterns visually.
Infinite Series Theorem
Math Number Theory
- Addresses the question whether a series of rational functions converges to a rational number Series Theorem .
Application of Digital Root - Elliptic Curves and Modular Forms
Math Number Theory
- A test for the terms of a sequence being expressed by a polynomial of Digital Root Elliptic Curves and Modular Forms by Roupam Ghosh.


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