Directory of Software Resources

Home > Science > Math > Number Theory > Software

Subcategories

• Elliptic Curves and Modular Forms
• Pari-GP
• Primality Proving
• UBASIC

Resources in This Category

• Aliquot

  http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html
  A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch.

• apfloat

  http://www.apfloat.org/
  High-performance arbitrary precision arithmetic package for C++ and Java.

• ARIBAS

  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.

• CALC

  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.

• cBigNumber

  http://www.imach.uran.ru/cbignum/
  Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use.

• CLN - Class Library for Numbers

  http://www.ginac.de/CLN/
  C++ library by Bruno Haible.

• ECMNET

  http://www.loria.fr/~zimmerma/records/ecmnet.html
  Elliptic curve factoring software.

• 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.

• GNUBC

  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.

• Implementations of Extended LLL

  http://www.math.uu.nl/people/vdkallen/lllimplementations.html
  By Wilberd van der Kallen.

• Java PHASER Project

  http://www.math.miami.edu/~phaser
  An application for numerically and graphically analyzing dynamical systems.

• 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.

• Kaprekar Series Generator

  http://kaprekar.sourceforge.net/
  A java application for determining the Kaprekar Constants and Series for numbers in various radixes.

• Large Number Arithmetic in BASIC

  http://largeint.sourceforge.net/
  Library for large-integer arithmetic, plus some number theory modules.

• 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.

• Maple Worksheets by John Cosgrave

  http://www.spd.dcu.ie/johnbcos/Maple.htm
  A selection of Maple (V.5) worksheets for teaching purposes.

• Math Archives Software

  http://archives.math.utk.edu/software/msdos/number.theory
  PC/Number Theory section.

• MIRACL

  http://indigo.ie/~mscott/
  Multiprecision Integer and Rational Arithmetic C/C++ Library.

• Multiprecision Software Directory

  http://crd.lbl.gov/~dhbailey/mpdist/mpdist.html
  Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.

• 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.

• Number-Theoretic Hacks

  http://www.ics.uci.edu/~eppstein/numth/
  Algorithms implemented by David Eppstein.

• NZMATH

  http://tnt.math.se.tmu.ac.jp/nzmath/
  Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.

• p-adic Arithmetic

  http://library.wolfram.com/infocenter/MathSource/556/
  A Mathematica package by Stany De Smedt.

• Schulenberg and Associates

  http://www.schulenberg.com/
  Factoring programs. Windows, free download.

• SIMATH

  http://tnt.math.se.tmu.ac.jp/simath/
  Computer algebra system for number theoretic applications.

• ZEN

  http://zenfact.sourceforge.net/
  A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.

Related Categories

• Home > Science > Math > Software
• Home > Science > Math > Algebra > Software
• Home > Computers > Algorithms > Computational Algebra

 

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