21. Number Theory Glossary Compiled by Robert Campbell.Category Science Math number theory......number theory Glossary. Abelian Group An abelian group is a groupwhose operation is commutative, ie a * b = b * a . An example of http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html

Number Theory Glossary Abelian Group An abelian group is a group whose operation is commutative, ie a b b a . An example of an abelian group is the integers with the usual addition operation. An example of a group which is not abelian is the rotations of a cube (try it out). When dealing with an abelian group is it conventional to denote the group operation as addition (+), rather than multiplication (*) and to denote the unit element as rather than 1. Carmichael Number A Carmichael Number is a composite number which passes the Fermat pseudoprime test for all bases. There are an infinite number of Carmichael numbers - the smallest is 561=11*17*3. Composite A composite number has non-trivial factors (ie factors other than itself and 1). Thus 13 is prime but 15=3*5 is composite. A number which is not composite is called prime . A polynomial which has non-trivial factors is called reducible Euler Pseudoprime Test A more effective pseudoprime test than the simpler Fermat test . A number N is called an Euler pseudoprime to base b if b N b N ) (mod N ). (Here (

22. Welcome To The Homepage Of The Computer Algebra Research Group Of The IWR Computer Algebra research group of the IWR, Heidelberg. People, research, teaching, activities, software and links. http://www.iwr.uni-heidelberg.de/groups/compalg/

ALGORITHMIC ALGEBRA AND NUMBER THEORY Research group Prof. Dr. B.H. Matzat IWR Im Neuenheimer Feld 368 D-69120 Heidelberg Germany Tel: +49 6221 54-8318 Fax: +49 6221 54-8850 People Research Teaching Activities ... michael.dettweiler@IWR.uni-heidelberg.de

23. Mathematik.com Individual pages on different topics in Mathematics. Examples group theory, dynamical systems theory, geometry or number theory. http://www.mathematik.com/

Mathematik.com Gradus Suavitatis Turing Billiard Abacus ... Feedback

24. Journal Of Number Theory The Journal of number theory was founded at The Ohio State University in 1969 by Professors R.P. http://www.math.ohio-state.edu/Groups/JNT

The Journal of Number Theory was founded at The Ohio State University in 1969 by Professors R.P. Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus. Editor-in-Chief: David Goss Managing Editor: Ranko Bojanic For more information see the Academic Press information page where you will find for instance Editorial Board Information for Authors Office Susan Hunter Department of Mathematics The Ohio State University 231 West 18th Avenue Columbus, Ohio 43210-1174 Phone: (614) 292-7670 Email: jnt@math.ohio-state.edu

25. A Course In Number Theory And Cryptography Neal Koblitz. An algorithmic approach that covers basic arithmetic topics all the way to elliptic curves. http://www.springer-ny.com/detail.tpl?isbn=0387942939

26. Pushpa Publishing House, Allahabad, Uttar Pradesh India (Pushpa) Table of contents and abstracts from vol.1 (2001). http://www.pphmj.com/jpanjournals.htm

JP Journal of Algebra, Number Theory and Applications (ISSN 0972 - 5555) The JP Journal of Algebra, Number Theory and Applications is devoted to the publication of articles of current interest in any branch of Algebra, Number Theory and their Applications The journal will be published in three issues per volume annually appearing in April, August and December. A volume is expected to comprise of 350 pages and consist of duly refereed original research papers and c ritical survey articles. Current Volume: Content Subscription Managing Editor Professor K. K. Azad (University of Allahabad, INDIA) Editorial Board Information to Authors Abstracted/indexed/Reviewed: Mathematical Reviews Zentralblatt fur Mathematik

27. Mathematics Archives MSDOS Software For Number Theory Math Archives Homepage Windows/MSDos Software Collection for number theory. Thefollowing icons indicate the type of package Freeware or Public Domain. http://archives.math.utk.edu/software/msdos/number.theory/.html

Windows/MSDos Software Collection for Number Theory The following icons indicate the type of package: Freeware or Public Domain Shareware with all features enabled Shareware with some features disabled Commercial Software Demo of Commercial Software List of Packages Aliquot Calc GP-PARI for DOS and OS/2 MPQSHD prime factorization program Malm - a collection of UBASIC programs NUMBERS calculator UBASIC This collection is maintained by Larry Husch . If you know of any Windows/MSDOS programs which are not listed in this collection and which you think are useful in the teaching of mathematics, then write Larry You are invited to submit materials to be stored on the Mathematics Archives; this may include software, reviews of software or teaching materials utilizing technology. For more information on uploading materials, read this

28. Combinatorics/Number Theory RESEARCH DIRECTORY Graph theory, combinatorial number theory. http://www.math.tamu.edu/research/research_areas/cnt.html

Combinatorics/Number Theory Directory The main subareas of interest and the faculty connected with them are listed below. Some of these faculty have additional research interests Graph Theory Arthur Hobbs Analytic Number Theory Doug Hensley Combinatoric Number Theory Itshak Borosh Combinatorial Topology Laura Anderson Toric Varieties J. Maurice Rojas Hal Schenck Algebra Applied Mathematics ... Research Directory

29. ICCSA 2003: Events Topics will be centered around the six major themes methods, image processing, number theory, partial differential equations, information systems and education in the field. Pages includes guide for authors, program schedule and venue. Takes place May 1723, 2003 in Montreal, Quebec, Canada. http://www.ucalgary.ca/iccsa/events.htm

Home Organization Sponsors Location ... Session proposals Events For participants Program The conference is planned as an international forum for discussion of most recent advances in computational sciences and their applications, centered around the six major themes: Computational Methods, Algorithms and Applications Scientific Visualization and Image Processing Thematic Chair: Brian d'Auriol (University of Texas at El Paso, USA) and Andres Iglesias (University de Cantabria, Spain) Computational Number Theory, Partial Differential Equations and Optimization Information Systems and Technologies Thematic Chair: Youngsong Mun (Soongsil University, Korea) Computational Science Education Open theme For a list of topics covered in the themes, go to Session Proposal . The current list of technical sessions, workshops, and minisymposia planned are as below. The list of confirmed invited speakers will appear shortly. Note: If you would like to submit your paper to a particular session, please submit the paper directly to the session chair. More details on paper submission information may be found the Guide for Authors Automatic Differentiation and Applications Organized by: Martin Buecker (RWTH Aachen, Germany)

30. IDEAL Redirect Service Publisher's site.Category Science Math number theory Publications Journals......Science Direct. IDEAL is now integrated into ScienceDirect. LibrariesRemember to migrate IDEAL OPAC links by July 1, 2003. Conversion http://www.idealibrary.com/links/toc/jnth

IDEAL is now integrated into ScienceDirect. Libraries: Remember to migrate IDEAL OPAC links by July 1, 2003. Conversion resources are available at: www.info.sciencedirect.com/librarian_help/ideal_integration/ Users who accessed IDEAL via passwords: More information is available at: www.info.sciencedirect.com/content_coverage/ideal/index.shtml After 15 seconds, this page will go to ScienceDirect. Go to ScienceDirect now

31. Magma Computational Algebra System Home Page Comprehensive system for algebra, number theory and geometry. Can work with polynomials, matrices, groups, rings, fields, modules, lattices, algebras, graphs, codes, and curves. http://www.maths.usyd.edu.au:8000/u/magma/

The Magma Computational Algebra System for Algebra, Number Theory and Geometry Magma is a large, well-supported software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics. It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric and geometric objects. Recent Notices: May 2002: Magma version 2.9 is ready for export. See Release Notes 2.9 for the release notes. About Magma What's New Magma on-line help FAQ ... Change Password (Registered Users Only) Magma is produced and distributed by the Computational Algebra Group within the School of Mathematics and Statistics of the University of Sydney.

32. NTL: A Library For Doing Number Theory A high-performance, portable C++ library providing data structures and algorithms for manipulating Category Science Math number theory Software......NTL A Library for doing number theory. NTL is a highperformance,portable C++ library providing data structures and algorithms http://www.shoup.net/ntl/

NTL: A Library for doing Number Theory NTL is 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. A Tour of NTL Download NTL Trouble-shooting guide Contact Info and Mailing Lists ... Related Links Now available: NTL 5.3.1 [More detailed information about recent changes] Back to Victor Shoup's Home Page

33. Euclid's Elements, Introduction Includes the entire 13 books on plane geometry, geometric and abstract algebra, number theory, incommensurables, and solid geometry. Uses java applets to illustrate the principles. http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

Introduction New: Jaume Domenech Larraz has translated the Elements into Catalan at http://www.euclides.org/ Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science but none so much as mathematics and the exact sciences. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages. I'm creating this version of Euclid's Elements for a couple of reasons. The main one is to rekindle an interest in the Elements, and the web is a great way to do that. Another reason is to show how Java applets can be used to illustrate geometry. That also helps to bring the Elements alive. The text of all 13 Books is complete, and all of the figures are illustrated using the Geometry Applet, even those in the last three books on solid geometry that are three-dimensional. I still have a lot to write in the guide sections and that will keep me busy for quite a while. This edition of Euclid's Elements uses a Java applet called the Geometry Applet to illustrate the diagrams. If you enable Java on your browser, then you'll be able to dynamically change the diagrams. In order to see how, please read

34. MathPages: Number Theory Kevin Brown's collection of sci.math postings related to number theory topics.Category Science Math number theory......number theory. Is e Normal? Identities for Linear Recurring SequencesThe HalfTotient Tree Symmetric Pseudoprimes Primes of the http://www.mathpages.com/home/inumber.htm

Number Theory Is e Normal? Identities for Linear Recurring Sequences The Half-Totient Tree Symmetric Pseudoprimes ... Math Pages Main Menu

35. Perfectly Scientific, Inc. the scientific algorithm company. Experts in compression, wavelets, FFT, general transforms, color graphics, Monte Carlo, fractals, convolution,signal processing, matrix algebra, genetic algorithms, number theory. http://www.perfsci.com/

Software Mac OS X apps StockLab IMKit BlackHolePro ... Mathematica® Free goods WaveletLab Large-integer C code Technical papers Scientific souvenirs ... Prizes About PSI Perfectly Scientific, Inc. is an algorithm company. We sell software that embodies classical algorithms and/or our proprietary algorithms. We also provide algorithm consulting in such disparate fields as: Signal processing, cryptography, quasi-Monte Carlo, color graphics, general mathematical modeling for industry. PSI also offers free technical papers and book-links that connect with our algorithm business. In addition, we sell scientific souvenirs , and these may be of interest even for nontechnical customers. News PSI has new Mac OS X applications for sale. Some of these are previously free demos that have been upgraded by us to full-feature app status. We offer such apps at-we hope you agree-very reasonable prices. New largest prime number!

36. Introduction To Number Theory Lecture notes by XD Jia, Southwest Texas State, 1996.Category Science Math number theory Education......next contents Next Contents. amssym.def. Introduction to number theory.XD JIA. SOUTHWEST TEXAS STATE UNIVERSITY Spring 1996. Contents; http://www.math.swt.edu/~haz/prob_sets/notes/notes.html

Next: Contents amssym.def Introduction to Number Theory X.-D. J IA S OUTHWEST T EXAS S TATE U NIVERSITY Spring 1996 Contents The Factorization of Integers Divisibility Prime Numbers ... Euler -Function Congruences Chinese Remainder Theorem Congruences Modulo a Prime Power Quadratic Residues ... About this document ... Donald Hazlewood and Carol Hazlewood Wed Jun 5 14:35:14 CDT 1996

37. Paul Garrett's Home Page Automorphic forms, Representations, Lfunctions, number theory, Cryptography. http://www.math.umn.edu/~garrett/

[ Paul Garrett's Page ] "In an age of universal deceit, telling the truth is a revolutionary act" George Orwell "An infallible method of conciliating a tiger is to allow oneself to be devoured." Konrad Adenauer "If you tell the truth, you don't have to remember anything." Mark Twain "The law in its majestic equality forbids the rich as well as the poor from stealing bread, begging and sleeping under bridges." Anatole France "Words exist because of meaning; once you've gotten the meaning, you can forget the words." Chuang-tzu "It is necessary to eat a live frog each morning to insure that nothing more unpleasant happens during the day." Nicolas de Chamfort "The scientist must appear to the systematic epistemologist as an unscrupulous opportunist." Albert Einstein "The purpose of art is not the release of a momentary ejection of adrenaline but is, rather, the gradual lifelong construction of a state of wonder and serenity." Glenn Gould garrett@math.umn.edu updated 10 Nov 02] ...[ Automorphic forms, Representations, L-functions, Number Theory, Etc. Vignettes updated 13 Mar 03) Buildings notes ] (PostScript) ... [

38. WEB DI TEORIA DEI NUMERI (SITO ITALIANO) Translate this page Things of Interest to Number Theorists). Ricerca nel Web di Teoriadei Numeri di Roma (Search the number theory Web Pages in Rome). http://www.mat.uniroma3.it/ntheory/web_italy.html

Web di Teoria dei Numeri (Sito Italiano) Scopi (Aims) (New Listings) Home Pages dei Teorici dei Numeri/Elenco dei Dipartimenti (Number theorists' Home Pages/Departmental listings) Fatti che interessano ai Teorici dei Numeri (Things of Interest to Number Theorists) Ricerca nel Web di Teoria dei Numeri di Roma (Search the Number Theory Web Pages in Rome) Brisbane, Australia Athens, Georgia, USA University of Cambridge, UK University of Electro-Communication, Tokyo ... Harish-Chandra Research Institute, Allahabad Gestito da Keith Matthews , Dipartimento di Matematica, University of Queensland, Brisbane, Australia Suggerimenti per nuovi inserimanti e modifiche sono bene accetti. Contattatemi per email a krm@maths.uq.edu.au Modificato il 17 Novembre 2001

39. NUMBER THEORISTS' HOMEPAGES/DEPARTMENTAL LISTINGS Part of the number theory Web. http://www.maths.uq.edu.au/~krm/number_theorists.html

Number Theorists' Home Pages/Departmental Listings I have assembled this list of links on the basis that a person has made some contribution to number theory. Many of the links contain no more than an email address. If you are a number theorist whose Homepage/Departmental listing is not on the list, or if you would like your Homepage withdrawn from the list, please email me (Keith Matthews) at krm@maths.uq.edu.au From time to time I use Momspider to check the number theory web files for broken links. I would also appreciate being notified of any broken links and changes of WWW addresses. A B C D ... Complete list (1123 names, 187K) Return to Number Theory Web page Last modified 7th March 2003

40. Math 259 Introduction To Analytic Number Theory (Spring 1998) Lecture Notes by Noam Elkies, Harvard, 1998.Category Science Math number theory Analytic......Lecture notes for Math 259 Introduction to Analytic number theory (Spring 1998)If you find a mistake, omission, etc., please let me know by email. http://www.math.harvard.edu/~elkies/M259.98/

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