Software (Number Theory)

Software Subs:

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

Top/Computers/Algorithms/Computational Algebra Top/Science/Math/Algebra/Software Top/Science/Math/Software

Software Sites:

Maple Worksheets by John Cosgrave A selection of Maple (V.5) worksheets for teaching purposes. http://www.spd.dcu.ie/johnbcos/Maple.htm NTL: A Library for doing Number Theory 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. http://www.shoup.net/ntl/ GNU MP Home Page Free library for arbitrary precision arithmetic. http://www.swox.com/gmp/ GIMPS FAQ list About the Mersenne Prime Freeware. http://www.mersenne.org/faq.htm NZMATH Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list. http://tnt.math.metro-u.ac.jp/nzmath/ Schulenberg and Associates Factoring programs. Windows, free download. http://www.schulenberg.com/ MIRACL Multiprecision Integer and Rational Arithmetic C/C++ Library. http://indigo.ie/~mscott/ Mersenne Prime Freeware Freeware to search for Mersenne Primes. Pointers to FreeLIP, GMP, HFloat, apfloat, CALC. http://www.samurai.com/mersenne/freeware.html Multiprecision Software Directory Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab. http://www.nersc.gov/~dhbailey/mpdist/mpdist.html ZEN A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL. http://fchabaud.free.fr/English/ZEN/ LiDIA C++ Library For Computational Number Theory. http://www.informatik.tu-darmstadt.de/TI/LiDIA/ Factorizer 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 v http://www.hermetic.ch/factors/factors.htm Number-Theoretic Hacks Algorithms implemented by David Eppstein. http://www.ics.uci.edu/~eppstein/numth/ Galois An algebra/number theory package by R. Lidl, R. W. Matthews and R. Wells. http://www.riaca.win.tue.nl/archive/can/SystemsOverview/Special/NumberTheory/Galois.html KANT / KASH 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.math.tu-berlin.de/~kant/kash.html Number Field Sieve NET A client/server system for NFSNET by Henrik Olsen. http://www.iaeste.dk/~henrik/projects/nfsnet.html Paul's TI-92 Number Theory Archive Download site for number theory programs adapted from UBASIC/MALM for the TI-92. http://www.geocities.com/Hollywood/2979/ntheory.html Encyclopedia of Integer Sequences Seeker 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. http://sourceforge.net/projects/eisseeker Implementations of Extended LLL By Wilberd van der Kallen. http://www.math.uu.nl/people/vdkallen/lllimplementations.html Large Number Arithmetic in BASIC Library for large-integer arithmetic, plus some number theory modules. http://www.home.zonnet.nl/vspickelen/Largefiles/LargeInt.htm CALC 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. http://www.numbertheory.org/calc/krm_calc.html Math Archives Software PC/Number Theory section. http://archives.math.utk.edu/software/msdos/number.theory Aliquot A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch. http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html ARIBAS 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. http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html FTP Sites, Calculator Programs and Archives In the Number Theory Web. http://www.maths.uq.edu.au/~krm/N1.html ECMNET Elliptic curve factoring software. http://www.loria.fr/~zimmerma/records/ecmnet.html GNUBC 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. http://www.numbertheory.org/gnubc/gnubc.html Software Packages of Interest to Number Theory Links maintained by John Cremona. http://www.maths.nott.ac.uk/personal/jec/packages.html p-adic Arithmetic A Mathematica package by Stany De Smedt. http://www.mathsource.com/Content/Applications/Mathematics/0208-392 CLN - Class Library for Numbers C++ library by Bruno Haible. http://www.ginac.de/CLN/ A2X Logiciels FTP site for Pari/GP and GALP. http://www.ufr-mi.u-bordeaux.fr/A2X/Logiciels.html HiPiLib - High Performance Libraries Home of PIOLOGIE, a library for arbitrary precision arithmetic, operating on natural, integer and rational numbers. http://www.hipilib.de/ giantint Library of routines for large integer arithmetic and number theory. http://www.perfsci.com/free/giantint/index.html Magma Computational Algebra System Home Page A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics. http://magma.maths.usyd.edu.au/ Jim Howell Software Large integer arithmetic. http://home.netcom.com/~jrhowell/math/software.htm MAGMA/PARI Calculator Web interface for short programs in either language. http://modular.fas.harvard.edu/calc/ Java PHASER Project An application for numerically and graphically analyzing dynamical systems. http://www.math.miami.edu/~phaser SIMATH Computer algebra system for number theoretic applications. http://tnt.math.metro-u.ac.jp/simath/ apfloat High-performance arbitrary precision arithmetic package for C++ and Java. http://www.apfloat.org/

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