41. Algebraic Number Theory Algebraic number theory. Math 676.dvi; Math 676.ps.gz Math 676.pdf. v2.01; August 14, 1996; first version on the web; 144p. v2.10; August 31, 1998; http://www.jmilne.org/math/CourseNotes/math676.html

Algebraic Number Theory pdf (current version 3.00) v2.01; August 14, 1996; first version on the web; 144p. v2.10; August 31, 1998; fixed many minor errors; added exercises and index; 140p. v3.00; February 11, 2008; corrected; revisions and additions; 163 pages. Contents Preliminaries From Commutative Algebra Rings of Integers Dedekind Domains; Factorization The Finiteness of the Class Number The Unit Theorem Cyclotomic Extensions; Fermat's Last Theorem Valuations; Local Fields Global Fields Errata pdf (old version 2.10)

42. KANT Group (Algebra And Number Theory) Algebra and number theory the KANT group. Members, software (KANT/KASH), publications. http://www.math.tu-berlin.de/~kant/

Institute of Mathematics KANT Group KANT Group (Algebra and Number Theory) About us Members Activities KANT/KASH ... E-mail About us We are the Algebra and Number Theory research group of the Institute of Mathematics at Our name, KANT , is short for C omputational A lgebraic N umber T heory with a slight hint at its German origin ( Immanuel Kant ). KANT is also the name of a sophisticated computer algebra system that has been developed under the project leadership of Prof. Dr. M. E. Pohst more about KANT We are furthermore involved in the research projects SCIEnce QaoS , and GiANT Members Prof. Dr. M. E. Pohst Prof. Dr. F. Hess Oliver Voigt (System Administrator) Dr. Claus Fieker ... Dr. Sebastian Pauli PhD Students Thorsten Lagemann Jose Mendez Moritz Minzlaff Osmanbey Uzunkol ... Marcus Wagner Diplomanden Sebastian Freundt Aneesh Karve Full list of members Activities ANTS VII The 7th Algorithmic Number Theory Symposium will take place from July 23 to July 28, 2006 at Technische Universität Berlin. ( more Lange Nacht der Wissenschaften 2006: KryptoLabor Wir waren wieder bei der Langen Nacht der Wissenschaften am 13. Mai 2006 mit dem

43. Five College Number Theory Seminar Meets regularly in Massachusetts. Programme, some abstracts. http://www.math.umass.edu/~siman/seminar.html

Five College Number Theory Seminar Where and When Five College Number Theory Seminar talks are generally held at Amherst College in the Seeley Mudd building , which houses Amherst College's Department of Mathematics and Computer Science. Unless noted otherwise, all talks take place at 4:00 p.m. in room Seeley-Mudd 207 . Refreshments are served at 3:30 p.m. in Seeley-Mudd 208. Driving Direction to Amherst College Campus map of Amherst College UMass Campus Center Hotel Parking Directions To find the parking lot in back of Seeley Mudd, drive east on College Street (Route 9) past the Amherst town common on your left. Two blocks after the common, turn right onto the College campus (just before you go under a railroad overpass). Take your second right and follow it until the road ends at the Seeley Mudd parking lot. From the parking lot, take the stairs in the Life Sciences building, just to the right of Seeley Mudd, up one flight, exit and turn left toward Seeley Mudd. Campus maps for Hampshire, Mt. Holyoke, Smith, and UMass

44. Fields Institute - Conference In Number Theory - 2003 In honour of HC Williams. Banff Centre, Banff, Alberta, Canada; 2430 May 2003. http://www.fields.utoronto.ca/programs/scientific/02-03/numtheory/

Home About Us NPCDS/PNSDC Mathematics Education ... Search SCIENTIFIC PROGRAMS AND ACTIVITIES March 14, 2008 Conference in Number Theory in Honour of Professor H.C. Williams Saturday May 24, 2003 to Friday May 30, 2003 to be held at The Banff Centre , Banff, Alberta, Canada Sponsored by The Fields Institute, The Number Theory Foundation RSA Security Inc. iCore CISaC ... Conference Proceedings Organizing Committee Michael Jacobson, Calgary Renate Scheidler, Calgary Jon Sorenson, Butler Andreas Stein, UIUC Gary Walsh, Ottawa Summary The conference is open to all areas of Number Theory, with emphasis on Computational Number Theory and applications to Cryptography. Researchers in these fields of study are welcomed to participate, as we honour Canada's foremost computational number theorist, whose contributions include results on integer factorization, primality testing, diophantine equations, linear recurrences, the infrastructure of quadratic number fields and function fields, and their applications to Cryptography. Each day of the conference will include one plenary lecture, a number of invited lectures and time has been set aside each day for contributed talks. Special Lecture Manindra Agrawal from IITK, who has recently proved the existence of a deterministic polynomial time algorithm for primality testing, will give a special evening lecture at the Banff Center on Sunday May 25, 2003, with a reception to follow in his honour sponsored by RSA Security Inc.

45. Computational Number Theory Computational number theory group. Members, research interests, publications. http://db.cwi.nl/projecten/project.php4?prjnr=84

46. Number Theory --  Britannica Online Encyclopedia Britannica online encyclopedia article on number theory branch of mathematics concerned with properties of the positive integers (1, 2, 3, ). http://www.britannica.com/eb/article-9109430/number-theory

var britAdCategory = "other"; Already a member? LOGIN Encyclopædia Britannica - the Online Encyclopedia Home Blog Advocacy Board ... Free Trial Britannica Online Content Related to this Topic This Article's Table of Contents Expand all Collapse all Introduction From prehistory through Classical Greece Pythagoras Euclid Diophantus ... Number theory in the 18th century Number theory in the 19th century Disquisitiones Arithmeticae From classical to analytic number theory Prime number theorem Number theory in the 20th century ... Print this Table of Contents Linked Articles Babylonian Greeks Pythagoreans Euclid Shopping New! Britannica Book of the Year The Ultimate Review of 2007. 2007 Britannica Encyclopedia Set (32-Volume Set) Revised, updated, and still unrivaled. New! Britannica 2008 Ultimate DVD/CD-ROM The world's premier software reference source. number theory Page 1 of 14 branch of mathematics concerned with properties of the positive integers number theory... (75 of 31260 words) To read the full article, activate your FREE Trial Close Enable free complete viewings of Britannica premium articles when linked from your website or blog-post.

47. Discovering Number Theory Discovering number theory. Discovering number theory is a textbook by John Jones and Jeff Holt published by W. H. Freeman and Company. http://math.la.asu.edu/~jj/dnt/

Discovering Number Theory is a textbook by John Jones and Jeff Holt published by W. H. Freeman and Company Requests for examination copies of the materials should go directly to the publisher. Visit this W.H. Freeman page and you should find a link which you can use to request a copy of the book. W.H. Freeman is starting a web page with materials for the book . It is in the process of being updated. Development of these course materials was supported by the NSF under grant Revitalizing Undergraduate Number Theory Course Basics The basic operation of the course is as follows. (This is also explained in the first day handout below.) Each chapter starts with the pre-lab sheet. It contains background, exercises to be worked by hand, and may mention the larger questions which will be taken up in the computer lab. Each student turns in their individual answers to pre-lab questions the following class, which is . . . The next 2-3 classes are held in the lab. Students work through the lab notebooks in teams of two. Each notebook contains "Research questions" and "Exercises". Exercises are intended to be straightforward while research questions are not. Typically, the research questions will require experimentation, forming of conjectures, and proofs. We expect students to make varying degrees of progress on these questions. Then, there is 1 or 2 classes where teams of 2 pair up to make teams of 4. These groups compare notes and improve their results to produce a single report. The report should include conjectures formed with any progress on their resolution (counter-examples, partial proofs, complete proofs).

48. W. Edwin Clark's Home Page Help yourself to the postscript file or pdf file of my book ELEMENTARY number theory. Also you may have the latex file in case you want to revise it to suit http://www.math.usf.edu/~eclark/

Welcome to W. Edwin Clark's Home Page Mathematics Department of the University of South Florida How to reach me Maple Links Join me at the The OEIS 100K E-Party If you don't know what the OEIS is go to OEIS and find out. Curriculum Vitae Academic Genealogy Publication Abstracts: (Postscript) (HTML) Recent Publications Websites for Courses 2000-2003 ... A New Kind of Science Like almost everyone whose Erdös Number is not or 1, my Erdös Number is 2. Members of our faculty with Erdös Number 1 are: Al Goodman, Vilmos Totik , and Stephen Suen MATH LINKS OF INTEREST: Maple Links Collection of Reviews of A New Kind of Science Eric Weisstein's Interactive Mathematics Encyclopedia ... Favorite Mathematical Constants by Steven Finch Mathematics Resources on the Internet Graph Theory Resources by Daniel Sanders GraphNet Archives The Math Forum's Internet Mathematics Library ... Words of Encouragement from Professor Mark Sapir Jobs and Careers for Math Majors Catalogue of Algebraic Systems Students who have trouble understanding mathematics may take comfort in the following remark of John von Neuman "In mathematics you don't understand things. You just get used to them."

49. Frank Nelson Cole Prize In Number Theory The prize is for a notable paper in number theory published during the preceding six years. To be eligible, the author should be a member of the American http://www.ams.org/prizes/cole-prize-number-theory.html

Home MathSciNet Journals Books ... Contact Us 201 Charles Street Providence, RI 02904 USA Phone: 401-455-4000 or 800-321-4AMS Or email us at ams@ams.org Open Positions Frank Nelson Cole Prize in Number Theory This prize (and the Frank Nelson Cole Prize in Algebra ) was founded in honor of Professor Frank Nelson Cole on the occasion of his retirement as Secretary of the American Mathematical Society after twenty-five years of service and as Editor-in-Chief of the Bulletin for twenty-one years. The original fund was donated by Professor Cole from moneys presented to him on his retirement, and was augmented by contributions from members of the Society. The fund was later doubled by his son, Charles A. Cole. The prize is for a notable paper in number theory published during the preceding six years. To be eligible, the author should be a member of the American Mathematical Society or the paper should have been published in a recognized North American journal. Currently, the US$5,000 prize is awarded every three years. Next award: January 2011.

50. Number Theory In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativitydivisibility, http://store.doverpublications.com/0486682528.html

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51. Schloss Dagstuhl : Seminar Homepage Schloss Dagstuhl, Wadern, Germany; 1621 May 2004. http://www.dagstuhl.de/about-dagstuhl/searchbox/?catchword=04211

52. LiDIA - A Library For Computational Number Theory LiDIA is a C++ library for computational number theory which provides a collection of highly optimized implementations of various multiprecision data types http://www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/

A C++ Library For Computational Number Theory Main Page News Introduction Online Documentation System Requirements ... Activate LiDIA's Remote Control (JavaScript) News March 2006 LiDIA 2.2.0 released LiDIA 2.2.0 is available for download The most important changes in this release are: bigint input operator does no longer set failbit if it encounters EOF at the end of a number. fixed for T != bigrational and a == fixed fixed HNF documentation. fixed friend class declaration for param_desc. several bugfixes and cleanups in the MPQS and Lanczos code of . (If the changes prove to be stable then will delegate all MPQS calls to in further LiDIA releases.) fixed build files for use with autoconf 2.59 / automake 1.9.6. fixed to prune really all factors with exponent 0. Oktober 2005 Robert Denier has a Labview interface to LiDIA on his homepage December 2004 LiDIA 2.1.3 released LiDIA 2.1.3 is available for download This is a bugfix release only. It fixes an off-by-one error in src/linear_algebra/crt_and_prime_handling.cc that could cause your applications to crash. Please refer to the release notes for an exhaustive list of changes and the known problems in LiDIA 2.1.3.

53. Paul Garrett: Crypto And Number Theory Lecture notes for a course on cryptography and number theory. http://www.math.umn.edu/~garrett/crypto/

Crypto and Number Theory [ambient page updated 09:13, 23 Jan 07] ... [ home Overview ... of basic crypto, in succinct form. [ updated 13:27, 26 Mar 07] Index to second-printing of crypto book. (No, I will not be teaching Crypto in 2005-06.) Some overheads from Fall '03 class: general info updated 14:55, 17 May 04] 08 Sept 2003 updated 10:44, 10 Sep 03] 10 Sept 2003 updated 18:15, 10 Sep 03] 15 Sept 2003 updated 09:16, 23 Jan 07] 17 Sept 2003 updated 09:08, 02 Jun 05] 22 Sept 2003 updated 18:22, 22 Sep 03] 24 Sept 2003 updated 09:08, 02 Jun 05] 29 Sept 2003 updated 09:08, 02 Jun 05] 01 Oct 2003, Vigenere updated 12:36, 01 Oct 03] 01 and 06 Oct 2003, Intro RSA, Diffie-Hellman, public-key issues updated 18:12, 06 Oct 03] 13 Oct 2003 updated 11:12, 15 Oct 03] 15-20 Oct 2003 updated 17:56, 21 Oct 03] 20 Oct 2003 updated 17:09, 20 Oct 03] 22 Oct 2003 updated 15:13, 22 Oct 03] 27 Oct 2003 updated 13:50, 28 Oct 03] 29 Oct 2003 updated 16:17, 18 Nov 03] 03 Nov 2003 updated 17:38, 04 Nov 03] comments on projects updated 14:04, 08 Nov 03]

54. Algorithmic Number Theory A major goal of the conference is to add algorithmic aspects to strong scientific traditions of The Finnish number theory community. http://www.math.utu.fi/projects/ant/

Conference on Algorithmic Number Theory Turku Home Scientific Committee Organizing Committee Invited Speakers ... Sponsors Latest information! List of participants Department of Mathematics of Turku University organizes during the academic year 2006/2007 International Visitor Program under the theme " Algorithmic and Discrete Mathematics ". (See http://www.math.utu.fi/ivp/ ) As a part of the project several conferences will take place in Turku. One of those is a conference on Algorithmic Number Theory Goal: A major goal of the conference is to add algorithmic aspects to strong scientific traditions of The Finnish number theory community. Topics: Topics of the conference cover all aspects of algorithmic and computational number theory . In particular connections to cryptography are sought. The conference will consist of many invited talks by leading experts, as well as sessions for contributed talks. Submissions: Interested authors are requested to submit an extended abstract up to 4 pages to Prof. Matti Jutila

55. Active Elementary Number Theory: N*n + 1 And Cid-Pairs Interactive (Javascript) expression of a number as a sum of two squares. http://www.faust.fr.bw.schule.de/mhb/taupaeng.htm

Active Elementary Number Theory: n + 1 and coprime increasing pairs of different parity JavaScript required sequence a = b = c = d = c,d both odd allowed n = ac + bd r = bd - ac s = ad + bc p = a + b q = c + d H.B. Meyer Faust-Gymnasium , Staufen Seite in deutscher Sprache:

56. Canadian Number Theory Association IX Meeting 9th meeting of the Canadian number theory Association. University of British Columbia, Vancouver, BC, Canada; 914 July 2006. http://www.pims.math.ca/science/2006/06cnta/

Main Menu Overview Visitor Info Location Programme ... Organizers Canadian Number Theory Association IX Meeting University of British Columbia, Vancouver July 9-14, 2006 Overview The Canadian Number Theory Association (CNTA) was founded in 1987 at the International Number Theory Conference at Laval University. The purpose of the CNTA is to enhance and promote learning and research in Number Theory, particularly in Canada. To advance these goals the CNTA organizes major international conferences, with the aim of exposing Canadian students and researchers to the latest developments in number theory. The previous meetings have been held in Banff (1988), Vancouver (1989), Kingston (1991), Halifax (1994), Ottawa (1996), Winnipeg (1999), Montreal (2002) and Toronto (2004). These have been high quality conferences which have had wide participation of the international number theory community. The next meeting of the Canadian Number Theory Association, CNTA IX, will be held in Vancouver, British Columbia, Canada during the week of July 9-14, 2006. It will take place at the campus of the University of British Columbia. 3rd Announcement Pacific Institute for the Mathematical Sciences Last Modified: Monday, 20-Mar-2006 11:42:08 PST

57. Number Theory Tutorials, lessons, and resources to support number theory in mathematics. http://math.about.com/od/numbertheory/Number_Theory.htm

zGCID=" test0" zGCID=" test0 test8" zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') You are here: About Education Mathematics Math Help and Tutorials Number Theory Mathematics Education Mathematics Essentials ... Math Help and Tutorials Number Theory Number Theory Tutorials, lessons, and resources to support number theory in mathematics. Basics of Computation Number Theory A good introductory site. Includes interactive tutorials and samples. Brun's Constant In 1919 Brun showed that the sum of the reciprocals of the twin primes converges to a sum. Find out more... Fibonacci Numbers (University) It began with Fibonacci's Rabbits and how fast they could breed! Here you will find over 200 resources to support Fibonacci Numbers and the Golden Section. Glaisher-Kinkelin Constant Stirling's formula provides a well-known estimate for large factorials for this number theory constant. Largest Known Primes Introduction to the Primes, a list of the Primes and Euclid's Proof of the Infinitude of Primes. Number Theory Help This site features a collection of calculators, tables and articles about number theory. It also includes an applet that is able to factor big numbers and a quadratic diophantine equation solver, among other things. Number Theory Top Picks from your guide for texts and resources for self study in Number Theory. Items for the beginner to the graduate level math student.

58. Intercity Number Theory Seminar Intercity number theory Seminar. current about conferences 2007 2006 2005 2004 2003 2002 2001. Tentative dates in the Spring 2008 http://www.math.leidenuniv.nl/~desmit/ic/current.html

current about conferences Intercity Number Theory Seminar: Van der Kallen Celebration March 14 Utrecht : room BBL 160. Today's seminar is dedicated to the 61st birthday of Wilberd van der Kallen. After the talks at 4PM there will be a reception in the library. Jan Draisma Phylogenetic tree models and classical invariant theory Abstract. Tree models are families of probability distributions that are used in reconstructing evolutionary trees from genetic data. They are given by a parameterisation, whereas an implicit description, by means of polynomial equations, would facilitate testing whether a given empirical distribution lies in the family. These equations are hard to find, but I will explain how to use classical invariant theory to reduce the quest for them to the case of simple trees. Wim Hesselink Euclidean skeletons of digital images in linear time by the integer medial axis transform Abstract. Roughly speaking, a skeleton of a two-dimensional image is a line drawing that represents the form of the image. The aim of the talk is to resolve the vagueness of this description. Digital image and volume data are given as grey values associated to grid points (pixels or voxels). There can be millions of grid points. Therefore efficient algorithms are needed. One of the efficient algorithms available is the feature transform that, for a given set of background points in a rectangular box, determines in linear time for every grid point in the box a closest background point. The integer medial axis IMA is a way to use this for skeletonization. We discuss theorems and conjectures about IMA, one of which was both refuted and proved by Wilberd van der Kallen.

59. Joint-NTS.html Columbia CUNY NYU. Thursday evenings, starting 18 September 2003. http://www.math.columbia.edu/~goldfeld/JointNTS.html

Joint COLUMBIA CUNY NYU NUMBER THEORY SEMINAR THURSDAY EVENINGS 5:00 - 7:00 P.M. (Rotating among the 3 Universities) TEA 5:00 - 5:30 P.M. ORGANIZERS: D. Goldfeld V. Kolyvagin Y. Tschinkel A. Venkatesh ... L. Szpiro. SCHEDULE OF TALKS: SPRING 2008 FALL 2007 FALL 2006 SPRING 2007 ... Archived-Mini-Conferences

60. Math 780 Material Lecture notes by Michael Filaseta, University of South Carolina, Fall 1997 (PS). http://www.math.sc.edu/~filaseta/gradcourses/Math780.html

Math 780: Elementary Number Theory A postcript version of the course description can be obtained below. Class notes (55 pages) can also be obtained in postscript form below. These notes are from a course taught by Michael Filaseta in the Fall of 1997 and may not reflect the current semesters material. A graph, at the bottom of the page, compares Li(x), Pi(x), and x/log(x). Math 780 Course Description (postscript file) Math 780 Class Notes [pdf] A Page For Our Undergraduate Elementary Number Theory Course ... Graduate Number Theory Courses At The University of South Carolina

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