121. 4th Panhellenic Conference On Algebra And Number Theory University of Patras, Greece; 30 May 2 June 2002. Online registration. http://www.math.upatras.gr/algebra/conf/

4th Panhellenic Conference on Algebra and Number Theory University of Patras May 30 - June 2, 2002 Start Page Organizing Committee Communication Registration ... Schedule The 4th Panhellenic Conference on Algebra and Number Theory , with international participation, will be held in Patras, from May 30 until June 2, 2002. The conference is organized biannually by the Greek algebraists since 1996 and has taken place in Athens, Thessaloniki and Crete.The scientific program will consist of lectures given by invited speakers and short communications of 20 minutes. The topics of the lectures basically refer to: Number Theory Group Theory Ordered Algebraic Structures Homological Algebra Topological Groups Hyperstructures Computational Algebra Algebraic Geometry Categorical Algebra The conference will take place at the Conference and Cultural Hall of the University of Patras. The accommodation will be in hotels near the University at the nice area of Rion. The registration fee is expected to be very reasonable and it will cover the book of abstracts, the Proceedings of the Conference, transportation to and from the University, lunches, the welcoming reception, the official dinner and an excursion to an archaeological site. If you are interested in participating, please fill out the

122. The Number Theory Group At UCLA number theory Group. Members, events, resources. http://www.math.ucla.edu/~ntg/

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123. Problems In Elementary Number Theory I would greatly appreciate hearing about a) challenging problems in Elementary number theory, b) interesting problems concerned with the History of Number http://my.netian.com/~ideahitme/pen.html

Project PEN Version (650 Problems) Download The notes are available in two formats : PS PDF Update Plan (tentative) 2005/02/20 - 2005/02/30 : Version 1 - 800 problems How You Can Help This is an unfinished manuscript. I would greatly appreciate hearing about a) challenging problems in Elementary Number Theory, b) interesting problems concerned with the History of Number Theory, c) beautiful results that are easily stated, and d) remarks on the problems in the book. Problems/Essay Books in Number Theory Pell's Equation Edward Barbeau, Springer 2003 Problems in Analytic Number Theory M. R. Murty, Springer 2001 D. P. Parent, 2000 Problems in Algebraic Number Theory J. Esmonde, M.R. Murty, Springer 1999 Kvant Selecta: Algebra and Analysis I Serge Tabachnikov, AMS 1999 Kvant Selecta: Algebra and Analysis II Serge Tabachnikov, AMS 1999 Power Play Edward Barbeau, MAA 1997 The Book of Numbers John Horton Conway, Richard K. Guy, Copernicus Books 1996 Theory of Numbers: A Text and Source Book of Problems Unsolved Problems in Number Theory Richard K. Guy, Springer 1994 Solved and Unsolved Problems in Number Theory Daniel Shanks, Chelsea Pub Co 1993

124. An Introduction To Analytic Number Theory An Introduction to Analytic number theory Ilan Vardi IHES, Buressur-Yvette Algorithms Seminar December 14, 1998 summary by Cyril Banderier and Ilan Vardi A http://algo.inria.fr/banderier/Seminar/Vardi/

An Introduction to Analytic Number Theory Ilan Vardi IHES, Bures-sur-Yvette Algorithms Seminar December 14, 1998 [summary by Cyril Banderier and Ilan Vardi] A properly typeset version of this document is available in postscript and in pdf If some fonts do not look right on your screen, this might be fixed by configuring your browser (see the documentation here 1 Introduction ``Le plus court chemin entre deux vérités dans le domaine réel passe par le domaine complexe '' ``The shortest path between two truths in the real domain passes through the complex domain.'' J. Hadamard. The above quote captures the depth analysis can bring when one is confronted by number theoretic questions. The oldest and most fundamental of such questions is the study of prime numbers. The first question to be answered is: Are there an infinite number of primes? This can be answered by a number of simple proofs (several other proofs are given in [ Euclid: Assume there are a finite number of primes p p n , then p p p n +1 is not divisible by any of the p i 's, so any of its prime divisors yields a new prime number (Euclid only considered the case

125. UIUC Number Theory number theory faculty, visitors, meetings, courses, events. http://www.math.uiuc.edu/ResearchAreas/NumberTheory/

Number Theory Faculty Visitors Students Courses ... Social Events The Mathematics Department of the University of Illinois at Urbana-Champaign has long been known for the strength of its program in number theory. The department has a large and distinguished faculty noted for their work in this area, and the graduate program in number theory attracts students from throughout the world. At present over twenty students are writing dissertations in number theory. Each semester upper level graduate courses are offered in a variety of topics in analytic, algebraic, combinatorial, and elementary number theory. At least three regularly scheduled seminars are held each week, with lectures being given by faculty, graduate students, and visiting scholars. The lectures may be elementary introductions, surveys, or expositions of current research. Almost every year, our number theorists hold one or two conferences. The research interests of the number theorists here include prime number theory, probabilistic number theory, elliptic curves, Galois module structure, deformations of Galois representations, Iwasawa theory, Wiles' proof of Fermat's Last Theorem, Ramanujan's Notebooks, modular forms, partition theory, special functions, elliptic functions, geometry of numbers, Diophantine approximation, arithmetic functions, sieves, transcendence and irrationality, continued fractions, q-series, and coding theory. A description of many of the areas of number theory studied at the university can be found in the department's

126. Warut Roonguthai Personal information and details on mathematics, number theory, and prime numbers. http://ksc9.th.com/warut/

Welcome to Warut's home page I always like to look for interesting prime numbers . In other words, I'm a prime searcher . One of my interests is about primes in arithmetic progression (AP). My small example of 7 consecutive primes in AP was mentioned in an article by Ivars Peterson . I discovered record large progressions of 3 (not consecutive) primes with very little effort. This was possible with my novel prime-searching method that used known primes as seeds. Iago L. Camboa later used this technic to find the impressive record 2-prime Pythagorean triangle To find examples of 4 titanic primes in AP, I introduced another search method based on the fact that any large collection of prime numbers should contain a highly regular pattern (Ramsey theory). This technic was proved to be very useful. Paul Jobling later used it to discover the first known examples of 5 and 6 titanic primes in AP . I also used this method to find an example of 3 titanic palindromic primes in AP and the smallest progressions of palindromic primes . You may find some additional information on my repository page for large primes in arithmetic progression I've become interested in Cunningham chains since I noticed that Yves Gallot's Proth.exe

127. Number Theory -- From MathWorld Index to articles in Eric Weisstein's MathWorld in the area of number theory. http://mathworld.wolfram.com/topics/NumberTheory.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Number Theory Algebraic Number The... Ergodic Theory@ Parity Arithmetic ... Transcendental Numbe...

128. London Number Theory Seminar London number theory Seminar, The London number theory Seminar is hosted in rotation for one semester each by UCL, IC and KCL. A http://www.mth.kcl.ac.uk/events/numbtheo.html

London Number Theory Seminar The London Number Theory Seminar is hosted in rotation for one semester each by UCL IC and KCL A list of previous seminars held is available here The seminar programme The London Number Theory Seminar meets every Wednesday at 4pm in room 408 of the Maths Department of Imperial College London . The seminar is preceded by a lecture course by Kevin Buzzard on representations of real reductive groups (12pm-1:30pm) and the London Number Theory Study Group on Euler Systems (2pm-3:30pm), all in the same place. This term's talks 28 April Dan Snaith (Imperial) "Overconvergent Siegel modular forms" 5 May Luis Dieulefait (Barcelona) "Existence of compatible families of Galois representations and the Fontaine-Mazur conjecture for elliptic curves" 12 May Bruno Kahn (Paris 7) "Birational motives" 19 May Fre Vercauteren (Bristol) "Zeta functions: the p-adic approach" 26 May Sarah Zerbes (Cambridge) "Selmer groups over p-adic Lie extensions" 2 June Adam Joyce (Imperial) "The Manin constant of modular abelian varieties" The Manin constant of a (modular) elliptic curve was introduced by Manin in a paper in the mid-70s, in which he also conjectured that it is always 1. I shall give this definition and discuss the results in the direction of proving the conjecture. I'll then generalise the definition to abelian varieties of arbitrary dimension and discuss the extensions of the above results to the general setting.

129. Number Theory At Brown number theory/Arithmetic Geometry Seminar. Members, meetings. http://www.math.brown.edu/~jhs/NTgroup.dir/NTgroup.html

Number Theory/Arithmetic Geometry At Brown University Faculty Gautam Chinta , VIGRE Postdoctoral Fellow, Ph.D. Columbia, 2000. Alexander Goncharov , Professor, Ph.D. Institute of Mathematics (Novosibirsk), 1987. Jeffrey Hoffstein , Professor, Ph.D. MIT, 1978. Stephen Lichtenbaum , Professor, Ph.D. Harvard, 1964. Jonathan D. Lubin , Professor (Emeritus), Ph.D. Harvard, 1963. W. Russell Mann , VIGRE Postdoctoral Fellow, Ph.D. Harvard, 2001. Matthew Papanikolas , Assistant Professor, Ph.D. Brown, 1998. Michael I. Rosen , Professor, Ph.D. Princeton, 1963. Joseph H. Silverman , Professor, Ph.D. Harvard, 1982. Algebra/Number Theory Seminar: The Brown Algebra/Number Theory Seminar meets from 4:00-5:00 PM on Monday afternoons when school is in session. A wide range of speakers is featured each semester. Tea is served in the Davis Room at 3:30 PM before the talk. Links to Number Theory Sites Number Theory Web: (American Site) A treasure trove of links to people, articles, and news related to number theory. Algebraic Number Theory Archives: Abstracts and (p)reprints of number theoretic articles.

130. Number Theory Day, Wits University, Johannesburg, South-Africa The John Knopfmacher Centre for Applicable Analysis and number theory. number theory Day. http://www.wits.ac.za/science/number_theory/numtrev.htm

The John Knopfmacher Centre for Applicable Analysis and Number Theory Number Theory Day Conference Information and speakers Number Theory Day Programme and Titles Number Theory Day Abstracts Pretoria Number Theory Special Session Titles ... To Centre Home Page

131. AIM Preprint Series Mainly in number theory. From 1998, PS and PDF. http://www.aimath.org/preprints.html

AIM Preprint Series Volume 7, 2004 Vanishing of L-functions of elliptic curves over number fields by Chantal David, Jack Fearnley, and Hershy Kisilevsky Tropical secant varieties of linear spaces by Mike Develin, AIM The density of rational points on a certain singular cubic surface by Timothy Browning, Oxford Classification of Ding's Schubert varieties: finer rook equivalence by Mike Develin, AIM, and Jeremy L. Martin and Victor Reiner, University of Minnesota An explicit formula for Hecke $L$-functions by Xian-Jin Li, BYU Prolongations of Geometric Overdetermined Systems by Thomas Branson, Andreas Cap, Michael Eastwood, and Rod Gover An explicit formula for the Euler product of Hecke polynomials by Xian-Jin Li, BYU Modular Parametrizations of Neumann-Setzer Elliptic Curves by William Stein and Mark Watkins The space of $n$ points on a tropical line in $d$-space by Mike Develin, AIM Coefficients and Roots of Ehrhart Polynomials by Mike Develin, Matthias Beck, Jesus De Loera, Julian Pfeifle, and Richard Stanley Volume 6, 2003

132. Elementary Number Theory - Kenneth H. Rosen Welcome. Elementary number theory and Its Applications Fourth Edition Kenneth Rosen, AT T Bell Laboratories 0201-87073-8 © 2000. http://www.aw-bc.com/rosen/

Welcome Elementary Number Theory and Its Applications Fourth Edition Kenneth Rosen, The fourth edition of Kenneth Rosen's widely used and successful text preserves the strengths of the previous editions, while enhancing the books teachability, flexibility, and richness. The blending of classical theory with modern applications has always been a hallmark feature of the text, and this new edition builds on this strength with new examples, new content and additional applications. This Web site provides you with content-rich and course-related resources. Web resources contain links to sites containing up-to-date information about recent discoveries, tutorials, historical and biographical material, and software to download. Get some selected solutions from the Student's Solutions Manual. Take advantage of Addison-Wesley's suite of course tools - Syllabus Manager and Online Discussion.

133. BUBL LINK / 5:15 Internet Resources: Number Theory interactive proofs, complexity issues in computational geometry, robotics, and motion planning, learning theory, number theory, logic, combinatorial http://bubl.ac.uk/link/n/numbertheory.htm

BUBL LINK / 5:15 Catalogue of Internet Resources Home Search Subject Menus A-Z ... About Number theory A-Z Index Titles Descriptions Computational Complexity Fermat's Last Theorem Journal of Number Theory Mathematics of Computation ... Work of Robert Langlands Page last updated: 17 March 2003 Comments: bubl@bubl.ac.uk Computational Complexity Journal which presents research at the interface between mathematics and theoretical computer science, with a clear mathematical profile and strictly mathematical format. Specific areas of concentration include structure of complexity classes, algebraic complexity, cryptography, interactive proofs, complexity issues in: computational geometry, robotics, and motion planning, learning theory, number theory, logic, combinatorial optimisation and approximate solutions, and distributed computing. Author: Springer Subjects: combinatorics, complex systems, computational mathematics, cryptography, number theory, optimisation DeweyClass: ResourceType: journal Location: germany, europe Last checked: Fermat's Last Theorem Explanation of the famous theorem of Pierre de Fermat who died in 1665, and a summary of its proof by Andrew Wiles in 1993.

134. Number Theory number theory Group. Members, meetings, software. http://www.ma.utexas.edu/~voloch/numberthy.html

Number Theory at the Mathematics Dept. of the University of Texas Permanent faculty in Number Theory, and their fields of interest. Frank Gerth gerth@math.utexas.edu ): Algebraic number theory, including class numbers, class groups, discriminants, class field theory, density theorems, Iwasawa theory. John Tate tate@math.utexas.edu ): Algebraic Number Theory (local and global fields), Class Field Theory, Galois cohomology, Galois representations, L-functions and their special values, modular forms, elliptic curves and abelian varieties. Jeffrey Vaaler vaaler@math.utexas.edu ): Analytic number theory, Diophantine approximation and the geometry of numbers in local and global fields, Diophantine inequalities, polynomials, effective measures of irrationality and transcendence, applications of Fourier analysis in number theory, inequalities and extremal problems. villegas@math.utexas.edu ): Special values of L-functions (Birch-Swinnerton-Dyer and Bloch-Beilinson conjectures), arithmetic of elliptic curves, modular forms, Mahler measure of polynomials. Felipe Voloch ): Arithmetic of function fields. Diophantine geometry over function fields. Geometry of algebraic curves. Algebraic varieties over finite fields. Modular forms, elliptic curves and abelian varieties. Finite fields and applications to coding theory and cryptography.

135. Math Forum Internet Mathematics Library: New Location Jerome William Hoffman of advanced graduate courses, including Algebraic Geometry, Commutative Algebra, Elliptic Curves, Modular Forms, Algebraic Topology, number theory, Lie Groups http://forum.swarthmore.edu/~steve/steve/numtheory.html

The Forum Internet Resource Collection has become The Internet Mathematics Library Please change your links and bookmarks to: http://mathforum.org/library/ Library Home Full Table of Contents Suggest a Link ... Library Help We now offer many more categories, selected starting points, updated entries, and powerful search and browse functions. We hope you find this enhanced presentation helpful as you search for mathematics sites on the Internet. Please search and browse the new Library. Here are a few shortcuts: Mathematics Topics, from Algebra and Arithmetic to Statistics and Topology... Resource Types Lesson Plans and Activities Problems and Puzzles Mathematics Education Topics - Teaching Issues and Strategies, Research and Reform... About the Internet Mathematics Library We are now cataloguing only mathematics and math education sites. Suggestion Box Home The Math Library Help Desk ... Search http://mathforum.org/ webmaster@mathforum.org

136. BULL - Volume 40, Number 1 Soc. 40 (2003), 99107. Review information Retrieve article in PDF DVI TeX PostScript Sieves in number theory Reviewer(s) Heini Halberstam Bull. Amer. Math. http://www.ams.org/bull/2003-40-01/

Journals Home Search Author Info Subscribe ... Help ISSN 1088-9485 (e) ISSN 0273-0979 (p) Previous issue Next issue Articles in press Recently posted articles ... All issues Contents of Volume 40, Number 1 Editor's Comment Donald G. Saari Bull. Amer. Math. Soc. Abstract, references and article information Retrieve article in: PDF DVI TeX PostScript Complex adaptive systems: Exploring the known, the unknown and the unknowable Simon A. Levin Bull. Amer. Math. Soc. Abstract, references and article information Retrieve article in: PDF DVI TeX PostScript Physical law and the quest for mathematical understanding Edward Witten Bull. Amer. Math. Soc. Abstract, references and article information Retrieve article in: PDF DVI TeX PostScript Topological quantum computation Michael H. Freedman; Alexei Kitaev; Michael J. Larsen; Zhenghan Wang Bull. Amer. Math. Soc. Abstract, references and article information Retrieve article in: PDF DVI TeX PostScript The principle of functoriality James Arthur Bull. Amer. Math. Soc.

137. Visible Structures In Number Theory By Peter Borwein and Loki J¶rgenson. Recognising number patterns visually. http://www.cecm.sfu.ca/~loki/Papers/Numbers/

Next: Abstract Visible Structures in Number Theory Centre for Experimental Simon Fraser University, Burnaby, B.C. CANADA V5L 2T7 (236 kB) Color cover page Gzip'd PostScript (color) (306 kB) Alternat cover page Gzip'd PostScript (color) (232 kB) Color cover page with abstract Gzip'd PostScript (color) (148 kB) Color paper Gzip'd PostScript (color) (736 kB) Preprint: Submitted for publication ABSTRACT Number theorists have been interested in the characteristics of numerical constants like and for centuries. These numbers, real irrationals, are composed of an unending string of digits in a specific but seemingly random order. As statistical methods and traditional analysis have revealed very little, it has been proposed that the natural visual capacities of human perception be employed to search for complex correlations in the numerical distributions. Keywords irrationality, continued fractions, zero/one polynomi als, visualization Introduction In Pursuit of Patterns In Support of Proof The Structure of Numbers ... About this document ... loki@cecm.sfu.ca

138. Department Of Algebra And Number Theory, Eotvos University Algebra and number theory. Address Department of Algebra and number theory Eötvös University Pázmány Péter sétány 1/c. H1117 Budapest Hungary http://www.cs.elte.hu/algebra/

Welcome to the Department of Algebra and Number Theory Address: Department of Algebra and Number Theory Pázmány Péter sétány 1/c. H-1117 Budapest Hungary The list of members of our department How to prepare your own HTML page Home Page of the Mathematics Departments Last modified September 17, 2002. This page is mantained by Emil W. Kiss

139. (Canada) Queen's University, Kingston Algebra and number theory Group. Members, research interests. http://www.mast.queensu.ca/faculty-algebra.html

140. Prentice Hall - Number Theory number theory. Exploring the Real Numbers, 1/e Stevenson (2000) Friendly Introduction to number theory, A, 1/e Silverman (1997). http://www.prenhall.com/list_ac/searches/MM0611.html

Number Theory Exploring the Real Numbers , 1/e Stevenson (2000) Friendly Introduction to Number Theory, A , 1/e Silverman (1997) Number Theory with Applications , 1/e Anderson, et. al. (1997) Number Theory with Computer Applications , 1/e Kumanduri, et. al. (1998) Comments To webmaster@prenhall.com

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