61. Number Theory | Mathematical Institute - University Of Oxford Number Theory Group. Members, publications, meetings. http://www.maths.ox.ac.uk/groups/number-theory

Number Theory Number Theory General information Members of the research group The number theory mailing list Research Preprints by members of the research group Algebraic and Analytic Methods in Number Theory (EPSRC grant no. EP/F060661/1) Rational Points on Algebraic Varieties (EPSRC grant no. GR/R93155/01) ... Papers by members of the group, on the departmental eprint server Seminars Number theory seminars Next seminar: Thu, 04/11 Dr A. Diaconu (University of Durham) Number Theory Seminar Trace formulas, character sums, and multiple Dirichlet series For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk Junior number theory seminars Next seminar: Mon, 01/11 James Maynard (Oxford) Junior Number Theory Seminars Primes in short arithmetic progressions The Siegel-Walfisz theorem gives an asymptotic estimate for the number of primes in an arithmetic progression, provided the modulus of the progression is small in comparison with the length of the progression. Counting primes is harder when the modulus is not so small compared to the length, but estimates such as Linnik's constant and the Brun-Titchmarsh theorem give us some information. We aim to look in particular at upper bounds for the number of primes in such a progression, and improving the Brun-Titchmarsh bound. For any corrections/updates to these listings, please contact

62. Number Theory (mathematics) :: Euclid -- Britannica Online Encyclopedia number theory (mathematics), Euclid, Britannica Online Encyclopedia, By contrast, Euclid presented number theory without the flourishes. He began Book VII of his Elements by http://www.britannica.com/EBchecked/topic/422325/number-theory/233897/Euclid

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63. Mathematics Archives - Topics In Mathematics - Number Theory Absolute Primes ADD. KEYWORDS Article, Repunits SOURCE Arkadii Slinko, University of Auckland and Mathematics Olympiad Learning Centre TECHNOLOGY Adobe Acrobat Reader http://archives.math.utk.edu/topics/numberTheory.html

Topics in Mathematics Number Theory Absolute Primes ADD. KEYWORDS: Article, Repunits SOURCE: Arkadii Slinko, University of Auckland and Mathematics Olympiad Learning Centre TECHNOLOGY: Adobe Acrobat Reader Aesthetics of the Prime Sequence Algorithmic Number Theory - Bibliography AMS - Fermat's Last Theorem ADD. KEYWORDS: Number theory, Fermat's Last Theorem, History, Reports, Articles AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases Arithmetic properties of Binomial Coefficients ADD. KEYWORDS: Elementary Number Theory, Lucas' Theorem, Pascal's triangle via cellular automata, Bernoulli numbers and polynomials, Theorems of Morley and Emma Lehmer and their generalizations, Some useful p-adic numbers Bernoulli (Beta) and Integer Part Sequences ADD. KEYWORDS: Article SOURCE: Rod Nillsen, Keith Tognetti and Graham Winley, University of Wollongong TECHNOLOGY: Adobe PDF, Postscript and DVI readers

64. Number Theory Number Theory Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope http://www.springer.com/mathematics/numbers/book/978-0-387-89485-0

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65. Number Theory Foundation Aims to collect donations from supporters of number theory and to disburse these donations to encourage research. http://www.math.uiuc.edu/ntf/

Selected Past Grants Application Procedure The Number Theory Foundation (NTF) is an organization whose aim is to collect donations from supporters of number theory and to disburse these donations to encourage research, purchase computing equipment connected with research, help sponsor appropriate conferences, and work to foster a spirit of cooperation and goodwill among the family of number theorists. The NTF does not seek to be the sole sponsor of projects, but rather to share in their support. Contributors of substantial donations to the NTF have the opportunity to decide which area or areas of number theory they wish to support and to specify how the support should be made: individuals, computational projects, conferences, or all of these. Right now our supporters have directed available funds toward activities in computational and combinatorial number theory, and also toward general number theory conferences. Some examples of recent grants are listed in Selected Past Grants The NTF is at present a very small foundation and does not have the resources to singlehandly underwrite costly undertakings. We hope that grants from us can be used to help leverage support from other sources. The NTF prefers that its conference grants be used for junior attendees who do not have other support, and that the grants be applied for and administered by the conference itself, not by individual participants.

66. UCSB Mathematics Number Theory Group The Department of Mathematics, UCSB, homepage. Number theory abounds in problems that are easy to state, yet difficult to solve. http://math.ucsb.edu/department/numbertheory.php

67. International Journal Of Number Theory (IJNT) (World Scientific) Original research papers and review articles on all areas of Number Theory. http://www.worldscinet.com/ijnt/ijnt.shtml

Home Contact Us Join Our Mailing List New Journals ... Advanced Search Print ISSN: 1793-0421 Online ISSN: 1793-7310 RSS Feed About IJNT Editorial Board Contact IJNT Sample Issue Abstracting/Indexing ... Online Gateways How To Order Order Online Price Information Request for Complimentary Print Copy Dispatch Dates For Authors Guidelines for Contributors Online Submission Author Rights RELATED BOOKS Analytic Number Theory For Undergraduates Applications Of Automata Theory And Algebra RELATED LINKS Mathematics Books Mathematics Journals HOME JOURNALS BY SUBJECT ... IJNT International Journal of Number Theory (IJNT) Current Issue All Volumes (2005-2010) News International Journal of Number Theory will be increased to 8 issues a year in 2009. Starting with V.2 (1) 2006, the information on the contents of International Journal of Number Theory will be indexed and abstracted in: Science Citation Index Expanded (also known as SciSearch ®) Current Contents ® /Physical, Chemical and Earth Sciences Journal Citation Reports/Science Edition Current Issue Volume: 6 , Issue: 6 (September 2010) DANIEL BACZKOWSKI , MICHAEL FILASETA , FLORIAN LUCA and OGNIAN TRIFONOV DOI No: Page: 1199-1214 Abstract Full Text References AN ARITHMETICAL INVARIANT OF ORBITS OF AFFINE ACTIONS AND ITS APPLICATION TO SIMILARITY CLASSES OF QUADRATIC SPACES ANTHONY C. KABLE

68. Archives Of NMBRTHRY@LISTSERV.NODAK.EDU Archives of postings to the Number Theory mailing list (NMBRTHRY). http://listserv.nodak.edu/archives/nmbrthry.html

List Archives Subscriber's Corner Server Archives List Archives List Management List Moderation Server Management Help ... Archive Search Archives of NMBRTHRY@LISTSERV.NODAK.EDU Number Theory List Search the archives Post to the list Join or leave the list (or change settings) Manage the list (list owners only) October 2010 September 2010 August 2010 July 2010 ... LISTSERV.NODAK.EDU

69. Number Theory Jeffrey Frederick Gold. Mathematical Interests Twin Primes, Experimental Number Theory, Elementary Number Theory, Chinese Remainder Theorem, Covering Sets, Linear Congruences, Prime http://www.math.utah.edu/~gold/numbertheory.html

Number Theory Jeffrey Frederick Gold Mathematical Interests: Twin Primes, Experimental Number Theory, Elementary Number Theory, Chinese Remainder Theorem, Covering Sets, Linear Congruences, Prime Numbers (of course), abundant numbers, odd perfect numbers, group theory, Galois theory, vectors, and more. Don H. Tucker and I have been working on the Twin Prime Conjecture for about six or seven years now. We have developed a mathematical algorithm which, when tested using a computer analogue, correctly predicted the twin primes in ascending order up to 5,000,000. Of course, the computer is never a proof (except maybe by intimidation), so we have been working on the induction argument for quite some time. It always seems to be within grasp, and just when I'm about to say, "Oh, to hell with it," I stare back down onto the page and the numbers give me something, they always give me something, something to come back and work on the problem again. Damn! I thought I'd get away!!!! A Characterization of Twin Prime Pairs, (with Don H. Tucker). Proceedings - Fifth National Conference on Undergraduate Research, Volume I, pp. 362-366, University of North Carolina Press, University of North Carolina at Asheville (UNCA), 1991. Abstract The basic idea of these remarks is to give a tight characterization of twin primes greater than three. It is hoped that this might lead to a decision on the conjecture that infinitely many twin prime pairs exist; that is, number pairs

70. Nakamula, Ken Tokyo Metropolitan University. Algorithmic number theory. Home of TNT (Tools for Number Theory) and NZMATH. http://tnt.math.metro-u.ac.jp/~nakamula/

Nakamula, Ken Professor, D.Sc. Snapshot Illustration Self-Introduction (in Japanese) Effort (in Japanese) Address: 8-667 (Building No.8 indicated by 15 in the map , Room 667) Department of Mathematics Graduate School of Science Tokyo Metropolitan University (TMU) Minami Osawa 1-1, Hachioji Tokyo, 192-0397 JAPAN Email (no reply without from/to name in the body of the mail): nakamula AtMark tnt.math.metro-u.ac.jp Fax: Tel: +81-42-677-1111 (ext 3165 or 3164) Academic Activities: TNT NZMATH SIMATH JANT ... RSNT Seminars: CM Seminar SNTTMU Research: Papers Talks Teach: Visiting Hours for Students (in English and Japanese) Lectures (in Japanese) $Date: 2009/05/14 06:27:57 $+ 9:00:00 (JST)

71. Noam D. Elkies Home Page Harvard. Number theory, algebraic geometry. Preprints, tables in computational number theory. http://abel.math.harvard.edu/~elkies/

Noam D. Elkies Professor, Department of Mathematics Harvard University E-Mail elkies@math.harvard.edu Work Address Department of Mathematics, Harvard University, Cambridge, MA 02138. Work Telephone fax Mathematics Music Chess links Miscellaneous writings etc.

72. HOME PAGE OF DAVID J. WRIGHT Oklahoma State University. Algebraic number theory and algebraic groups, with methods from functional analysis and analytic number theory. http://www.math.okstate.edu/~wrightd/

David J. Wright's Home Hello: I am a mathematician on the faculty of Oklahoma State University. My home page is divided up into the following areas of information: Current Teaching Schedule My resume and other personal information Some facts about my education, career and family are given here. Guide to my published works. MSRI MathGraphics info: notes and info about lectures Number Theory and PARI This a web supplement I created to the textbook Elementary Number Theory and its Applications by Ken Rosen. It contains among other things: Web tools for Number Theory Web tools for Cryptology Student Projects in Number Theory and Cryptology The Indra's Pearls Web Site Information on a book about kleinian groups which I co-authored and which is now published by Cambridge University Press. MATH 6490: Indra's Pearls Course Materials The course ran in the spring of 2004. Introduction to Dynamical Systems and Fractals These are the materials I prepared for a course given in the spring of 1996, including a 170-page book processed in latex2html. Symmetry Web This is a World Wide Web machine for experimenting with symmetry groups of simple geometric figures.

73. Vajaitu, Marian Romanian Academy of Sciences. Algebraic number theory, analytic number theory, class field theory and theory of algebraic functions. http://www.imar.ro/~mvajaitu/

CURRICULUM VITAE MARIAN VAJAITU Born: September 27, 1962, Colt, Romania. Address: Romanian Academy, P.O. Box. 1-764, R0-70700 Bucharest, Romania. Studies: I graduated from Department of Mathematics of Mathematics of the University of Bucharest in 1987. The title of Diploma Dissertation was "Riemann's zeta function and applications in Number Theory". The main lectures during this period are: two year a basic course in algebra, an year a basic course in real analysis, complex analysis (a semester), measure theory (a semester), two years a basic course in differential equations, an year of axiomatic and euclidean geometry, an year of differential geometry, an year of functional analysis, a supplementary year of algebra (number theory and groups theory), a course in Algebraic Geometry and one in Algebraic Topology. I studied some classical works in number theory, such as: - analytic number theory (from the books by Ingham, Eduards, Davenport, Titchmarsh, Halberstan, Baker, Bump). - algebraic number theory (from the books by Borevich and Shafarevich, H. Hasse and S. Lang). - valuations and the theory of algebraic functions (from the books by Schilling, Chevalley and Hasse). - class field theory (from the books by Hasse, Chevalley and Neurkirch). I participated also at the seminar of Number Theory lead by Professor N. Popescu devoted to algebraic number theory, analytic number theory, class field theory and theory of algebraic functions.

74. Number Theory Authors/titles Recent Submissions Title Random Systems with Complete Connections and the Gauss Problem for the Regular Continued Fractions http://arxiv.org/list/math.NT/recent

arXiv.org math math.NT Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Number Theory Authors and titles for recent submissions Fri, 29 Oct 2010 Thu, 28 Oct 2010 Wed, 27 Oct 2010 Tue, 26 Oct 2010 ... Mon, 25 Oct 2010 [ total of 33 entries: [ showing 25 entries per page: fewer more all Fri, 29 Oct 2010 arXiv:1010.6066 pdf ps other Title: Non-vanishing modulo p of central critical Rankin-Selberg L-values with anticyclotomic twists Authors: Comments: 20 pages Subjects: Number Theory (math.NT) arXiv:1010.6009 pdf ps other Title: Computing local p-adic height pairings on hyperelliptic curves Authors: Jennifer S. Balakrishnan Amnon Besser Subjects: Number Theory (math.NT) ; Algebraic Geometry (math.AG) arXiv:1010.5805 pdf ps other Title: Constellations in P^d Authors: Brian Cook Akos Magyar Comments: 14 pages Subjects: Number Theory (math.NT) ; Classical Analysis and ODEs (math.CA) arXiv:1010.6059 (cross-list from math.RT) [ pdf ps other Title: Authors: Moshe Adrian Comments: 26 pages Subjects: Representation Theory (math.RT) ; Number Theory (math.NT)

75. Mathematics Archives MSDOS Software For Number Theory PC/Number Theory section. http://archives.math.utk.edu/software/msdos/number.theory

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

76. NUMBER-THEORY.LOVE.COM | All Things Number Theory A new regulation approved in Turkey will potentially ban BlackBerry smartphones, in a repeat of the dispute between Research In Motion, or RIM, and a series of governments http://number-theory.love.com/

77. Number Theory Mac/Number Theory section. http://archives.math.utk.edu/software/mac/numberTheory/.directory.html

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 Mathematica Mathematica Help Stack MightyCalc Pari 1.37 Pi and e Calculator PrimeFactor Primos Quotient Finder Recent Macintosh port of GAP

78. Number Theory — Infoplease.com Encyclopedia number theory. number theory, branch of mathematics concerned with the properties of the integers (the numbers 0, 1, 1, 2, -2, 3, -3, …). http://www.infoplease.com/ce6/sci/A0836174.html

79. Jones, John Arizona State University. Algebraic number theory Iwasawa theory, the arithmetic of elliptic curves, Galois theory; questions in computational number theory. Tables of number fields of small degree. Discovering number theory course material. http://math.la.asu.edu/~jj/

This page has moved to http://hobbes.la.asu.edu . Trying to forward ...

80. What Is Number Theory? Definition From WhatIs.com Number theory, also known as higher arithmetic, is a branch of mathematics concerned with the properties of integers, rational numbers, irrational numbers, and real numbers. http://whatis.techtarget.com/definition/0,,sid9_gci835154,00.html

number theory HOME SEARCH BROWSE BY CATEGORY BROWSE BY ALPHABET ... WHITE PAPERS Search our IT-specific encyclopedia for: Browse alphabetically: A B C D ... Computing Fundamentals number theory Number theory, also known as higher arithmetic, is a branch of mathematics concerned with the properties of integer s, rational number s, irrational number s, and real number s. Sometimes the discipline is considered to include the imaginary and complex numbers as well. Formally, numbers are represented in terms of set s; there are various schemes for doing this. However, there are other ways to represent numbers for example, as angles, as points on a line, as points on a plane, or as points in space. The integers and rational numbers can be symbolized and completely defined by numeral s. The system of numeration commonly used today was developed from systems used in Arab texts, although some scholars believe they were first used in India. The so-called Arabic numerals are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Last updated on: Sep 21, 2005

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