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By Wilberd van der Kallen.
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Implementations of extended LLL Implementations of extended LLL In systems like GP/PARI one uses an implementation of the LLL lattice reduction algorithm which allows dependent vectors and which also returns a transformation matrix. However, no good complexity analysis is available for their qflll algorithm...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.
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Kash Group members publications database links Institut fr Mathematik, TU Berlin] KANT/KASH webkash doc copyright acknowledgement examples download ftp] KANT is a software package for mathematicians interested in algebraic number theory. For those KANT is a tool for sophisticated computations in...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.
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ARIBAS by O. Forster S is an interactive interpreter for big integer arithmetic and multi-precision floating point arithmetic with a Pascal/Modula like syntax. It has several builtin functions for algorithmic number theory like gcd, Jacobi symbol, Rabin probabilistic prime test, factorization algorithms (Pollard rho,...A selection of Maple (V.5) worksheets for teaching purposes.
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Maple I was a complete novice in the use of computing in my mathematics teaching, and benefited greatly from a new, temporary colleague, Dr. Mark Daly (that was the happiest time in my professional working life Mark was an expert in...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.
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NTL: A Library for doing Number Theory 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. A Tour of NTL Download NTL Trouble-shooting guide Contact Info and Mailing Lists Related...PC/Number Theory section.
http://archives.math.utk.edu/software/msdos/number.theory
Library of routines for large integer arithmetic and number theory.
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Algorithm Sampler Int free software release GiantInt is a number-theoretical package for large-integer arithmetic. It may be downloaded, and used for any purpose, on an as is basis. Software overview The giantint package consists of a library of routines for large integer...Multiprecision Integer and Rational Arithmetic C/C++ Library.
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Shamus Software Ltd MIRACL Library which implements all of the primitives necessary to design Big Number Cryptography into your real-world application. It is primarily a tool for cryptographic system implementors. RSA public key cryptography, Diffie-Hellman Key exchange, DSA digital signature, they are all just...Free library for arbitrary precision arithmetic.
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The GNU MP Bignum Library Here you can find information about the GNU Multiple Precision Arithmetic Library, the fastest bignum library on the planet! Current release: 4.1.4 What's new in GMP 4.1.4? GMPbench 0.1 results Guest accounts needed! Is 64-bit slower? Compute billions of digits...Mac/Number Theory section.
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Number Theory Use this portion to search the abstracts and readme files for a particular word You may use compound searches, such as: calculus AND precalculus Search String ABC for the Mac Calculate Pi Elliptic Curve Calculator Factor 18-Digit Numbers MacGAP MacMuPAD...In the Number Theory Web.
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Mathematics Disclaimer You have requested the document http www.maths.uq.edu.au/~krm/N1.html. This is a staff web area hosted on a University of Queensland web server. Please be advised that the web pages within this area are NOT officially endorsed by The University of Queensland....About the Mersenne Prime Freeware.
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Frequently Asked Questions S forums provide may provide a better way for you to search for answers or ask new questions and get answers from long-time GIMPS members. This page contains answers to some of the frequently asked questions about the Mersenne Prime...Freeware to search for Mersenne Primes. Pointers to FreeLIP, GMP, HFloat, apfloat, CALC.
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Mersenne Prime Freeware Please choose the site closest to you for the best performance. www2.netdoor.com Conrad Curry, Southern US, master site www.samurai.com Bryan Fullerton, Canadian mirror Software Software for Pentium 486 processors Go to the GIMPS homepage. George Woltman's programs are the fastest...Factoring programs. Windows, free download.
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Schulenberg Associates, Inc Stock Market Timing Newsletter) Our experience with stock market modeling began in 1987 when we developed a Neural Network modeling capability as part of our EDES (Empirical Data Expert System) tool. Development of our Stock Strategist (TM) software began in 2000, and we began...C++ library by Bruno Haible.
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CLN Class Library for Numbers N is a library for efficient computations with all kinds of numbers in arbitrary precision. CLN was written by Bruno Haible haible@clisp.cons.org and is currently maintained by Richy Kreckel richard.kreckel@ginac.de. It is distributed under the terms and conditions of the...Algorithms implemented by David Eppstein.
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Number theory files for David Eppstein I have implemented a number of simple number-theoretic algorithms for my own amusement, and provide them here on the net. Egyptian Fractions algorithms and references. This notebook for Mathematica 2.2/Macintosh (also available in HTML format) describes and implements a number...A client/server system for NFSNET by Henrik Olsen.
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Projects NFSNET More details about the current NFSNET project are available from the web site http www.nfsnet.org Current status In June 2004 I stopped doing NFS as a distributed project and switched to using the 15 nodes beowulf cluster Pingo at Ris...A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch.
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Aliquot A tool to compute aliquot chains with small starting numbers and keep a record of the results. For a positive natural number n, let s(n) denote the sum of its proper divisors. The sequence obtained by iterating s for some...Download site for number theory programs adapted from UBASIC/MALM for the TI-92.
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Paul's TI-92 Number Theory Archive v1.0 I found it a pretty complete package; I mean, it covers quite a bit from quite a few classes. There were a few things that weren't implemented, but those gaps were soon patched by ELEM and ADV, two groups of...Large integer arithmetic.
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Jim Howell's Software Page This page describes some software that I have written, and some that I didn’t write. And it can be downloaded and used for free! These programs do arithmetic and/or factoring with large integers The meaning of 147;large” varies from one...An application for numerically and graphically analyzing dynamical systems.
http://www.math.miami.edu/~phaser
High-performance arbitrary precision arithmetic package for C++ and Java.
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Apfloat Home Page These pages are maintained by Mikko Tommila Mikko.Tommila@apfloat.org...Computer algebra system for number theoretic applications.
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SIMATH homepage H is a computer algebra system, especially for number theoretic purpose. A more detailed overview (as dvi file)or (the TeX Source The center of development and maintainance of SIMATH is now in TMU (Tokyo Metropolitan University).our present policy and an...An algebra/number theory package by R. Lidl, R. W. Matthews and R. Wells.
http://www.riaca.win.tue.nl/arch...Special/NumberTheory/Galois.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.
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DESCRIPTION OF CALC C is a number theory calculator program which uses arbitrary precision integer arithmetic. It would be useful in a first course in number theory. It is written in ANSI C and Yacc, along the lines of the calculator programs hoc1,2,3,...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.
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BC NUMBER THEORY PROGRAMS List of bc programs written by Keith Matthews Some BCMath (online) programs Download my bc programs gzipped tar version) Updates BC (version 1.06 see the manual) is a language that supports arbitrary precision integer arithmetic calculations with interactive execution of...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.
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Factorizer: A Factorization and Prime Number Program Windows program to find factors of numbers up to 2,147,483,646 and to find primes, pairs of primes and Palmen colors of numbers. Or in more detail, Factorizer may be used 1) to get the prime decomposition of all numbers in...Web interface for short programs in either language.
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MAGMA/PARI Calculator Evaluate the code below in or This is the result (execution automatically stops after 20 seconds Output HELP nbsp PARI and Magma Documentation This calculator is running on a 64-bit Dual Opteron 248 Sun Fire V20Z running AMD64 Debian GNU/Linux...Library for large-integer arithmetic, plus some number theory modules.
http://www.home.zonnet.nl/vspickelen/Largefiles/LargeInt.htm
Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.
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NZMATH Python based number theory oriented calculation system. It is developed at Tokyo Metropolitan University. Your feedbacks are always welcomed. Please consider to join the mailing list. Please read README for more details. News 2005-06-28 NZMATH Version 0.4.0 has been released....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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OSTG Eclipse TechForge -ThinkGeek -Slashdot -ITMJ -Linux.com -NewsForge -freshmeat -Newsletters -PriceGrabber -Jobs -Broadband -Sponsor Solutions My Favorites SF.net Home Eclipse TechForge mysf.net softwaremap about sf.net Login via SSL New User via SSL Search This ProjectSoftware/GroupFreshmeat.netSite Docs results by YAHOO! search...A C++ class library, datasets and command line program for computing zeros and values of L-functions, by Michael Rubinstein.
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L This material is based upon work supported by the National Science Foundation under Grant No. DMS-0138597...A java application for determining the Kaprekar Constants and Series for numbers in various radixes.
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On the The Kaprekar Series Constants are numbers generated on applying the Kaprekar Routine on a number! OK, that sentence leaves a lot of things unanswered Take any number. Now sort the digits of this number in ascending or descending order. Subtract these two numbers....Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.
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High-Precision Software Directory Please refer from now on to this website: http crd.lbl.gov/~dhbailey/mpdist...Links maintained by John Cremona.
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Packages Software packages of interest to number theory mwrank and related programs Apecs Kant LiDIA Magma Maple NTL Pari/GP SAGE Simath Number theory ftp sites/calculator programs/archives from the Number Theory Web mwrank and related programs: mwrank.readme mwrank.changes mwrank.info mwrank.options mwrank2.7.tar.gz (source...A Mathematica package by Stany De Smedt.
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p-adic Arithmetic from Mathematica Information Center This package is meant to do p-adic calculations. It allows addition, subtraction, multiplication and division of p-adic numbers written in Hensel expansion. Also functions as log, exp, sin, cos, sinh and cosh are defined using their power series expansion. At...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.
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SAGE: System for Algebra and Geometry Experimentation E is software for number theory, algebra, and geometry. It is initially being designed mainly for computing with elliptic curves and modular forms. It is open source and freely available under the terms of the GPL. For more details, see...A library of functions to handle arbitrary length integers, written on ANSI C99.
http://chat.finalcombat.com/valyala/big_int/
Library for large-integer arithmetic, plus some number theory modules.
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Large number arithmetic in BASIC Number theory modules survey Download links Motivation Euclid (flourished ca. 300 B.C The material presented on this page is due to my interest in number theory. It's a field whence originate many classic algorithms you can't wait to implement and...