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Elliptic Curves and Modular Forms (10)
Pari-GP (14)
Primality Proving (9)
UBASIC (6)
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    Science > Math > Algebra > Software  (61)
    Science > Math > Software  (540)

Web Pages
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  http://www.loria.fr/~zimmerma/records/ecmnet.html http://www.loria.fr/~zimmerma/records/ecmnet.html
Elliptic curve factoring software.
  NTL: A Library for doing Number Theory http://www.shoup.net/ntl/
A high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields.
  Magma Computational Algebra System Home Page http://magma.maths.usyd.edu.au/
A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics.
  CLN - Class Library for Numbers http://www.ginac.de/CLN/
C++ library by Bruno Haible.
  http://www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/ http://www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/
C++ Library For Computational Number Theory.
  KANT / KASH http://www.math.tu-berlin.de/~kant/kash.html
KANT is a software package for sophisticated computations in number fields and in global function fields. With KASH you are able to use the powerful KANT V4 functions within a shell.
  http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html
An interactive interpreter for big integer and multi-precision floating point arithmetic with a Pascal/Modula like syntax. It has several builtin functions for algorithmic number theory.
  Multiprecision Software Directory http://crd.lbl.gov/~dhbailey/mpdist/mpdist.html
Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.
  http://tnt.math.metro-u.ac.jp/simath/ http://tnt.math.metro-u.ac.jp/simath/
Computer algebra system for number theoretic applications.
  http://www.numbertheory.org/calc/krm_calc.html http://www.numbertheory.org/calc/krm_calc.html
A calculator program for doing arbitrary precision integer arithmetic, written in ANSI C and Yacc, with a number of built-in functions for number theory, by Keith Matthews.
  Number-Theoretic Hacks http://www.ics.uci.edu/~eppstein/numth/
Algorithms implemented by David Eppstein.
  http://fchabaud.free.fr/English/ZEN/ http://fchabaud.free.fr/English/ZEN/
A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.
  Math Archives Software http://archives.math.utk.edu/software/msdos/number.theory
PC/Number Theory section.
  Math Archives Software http://archives.math.utk.edu/software/mac/numberTheory/.directory.html
Mac/Number Theory section.
  http://indigo.ie/~mscott/ http://indigo.ie/~mscott/
Multiprecision Integer and Rational Arithmetic C/C++ Library.
  Implementations of Extended LLL http://www.math.uu.nl/people/vdkallen/lllimplementations.html
By Wilberd van der Kallen.
  http://www.apfloat.org/ http://www.apfloat.org/
High-performance arbitrary precision arithmetic package for C++ and Java.
  http://pmmac03.math.uwaterloo.ca/~mrubinst/L_function_public/L.html http://pmmac03.math.uwaterloo.ca/~mrubinst/L_function_public/L.html
A C++ class library, datasets and command line program for computing zeros and values of L-functions, by Michael Rubinstein.
  http://tnt.math.metro-u.ac.jp/nzmath/ http://tnt.math.metro-u.ac.jp/nzmath/
Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.
  MAGMA/PARI Calculator http://modular.fas.harvard.edu/calc/
Web interface for short programs in either language.
  http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html
A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch.
  Number Field Sieve NET http://www.iaeste.dk/~henrik/projects/nfsnet.html
A client/server system for NFSNET by Henrik Olsen.
  http://www.numbertheory.org/gnubc/gnubc.html http://www.numbertheory.org/gnubc/gnubc.html
Supports arbitrary precision integer arithmetic calculations with interactive execution: it is a superior version of the basic bc program which comes with the UNIX operating system. Keith Matthews has written several number-theoretic programs.
  Factorizer http://www.hermetic.ch/factors/factors.htm
A Windows program to find all factors of any positive integer less than 2^31 - 1; decompose numbers into their prime constituents; find prime numbersand pairs of primes; and to plot Erdos-Kac and Palmen Color histograms. Down load free demo, order full version online.
  Schulenberg and Associates http://www.schulenberg.com/
Factoring programs. Windows, free download.
  Kaprekar Series Generator http://kaprekar.sourceforge.net/
A java application for determining the Kaprekar Constants and Series for numbers in various radixes.
  Java PHASER Project http://www.math.miami.edu/~phaser
An application for numerically and graphically analyzing dynamical systems.
  Maple Worksheets by John Cosgrave http://www.spd.dcu.ie/johnbcos/Maple.htm
A selection of Maple (V.5) worksheets for teaching purposes.
  p-adic Arithmetic http://library.wolfram.com/infocenter/MathSource/556/
A Mathematica package by Stany De Smedt.
  Large Number Arithmetic in BASIC http://largeint.sourceforge.net/
Library for large-integer arithmetic, plus some number theory modules.
  cBigNumber http://www.imach.uran.ru/cbignum/
Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use.
  http://modular.fas.harvard.edu/SAGE/ http://modular.fas.harvard.edu/SAGE/
System for Arithmetic Geometry Experimentation: a framework for number theory, algebra, and geometry, initially designed for computing with elliptic curves and modular forms, by William Stein. Open source under GPL.
  Encyclopedia of Integer Sequences Seeker http://sourceforge.net/projects/eisseeker
EIS-Seeker is a libguile-based scheme interpreter devoted to the study of the Encyclopedia of Integer Sequences database. It is intended to help find new relations between sequences. C/Scheme, Posix.

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