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         Number Theory:     more books (100)
  1. Number Fields (Universitext) by Daniel A. Marcus, 1995-04-27
  2. Ergodic Theory of Numbers (Carus Mathematical Monographs) by Karma Dajani, Cor Kraaikamp, 2002-07-15
  3. Basic Number Theory (Classics in Mathematics) by Andre Weil, 1995-02-15
  4. Number Theory: An Introduction via the Distribution of Primes by Benjamin Fine, Gerhard Rosenberger, 2006-10-16
  5. Introductory Algebraic Number Theory by Saban Alaca, Kenneth S. Williams, 2003-11-17
  6. The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics) by I. M. Vinogradov, 2004-09-10
  7. Sacred Number and the Origins of Civilization: The Unfolding of History through the Mystery of Number by Richard Heath, 2006-12-26
  8. Prime Numbers: The Most Mysterious Figures in Math by David Wells, 2005-05-18
  9. Beginning Number Theory by Neville Robbins, 2005-12-29
  10. An Adventurer's Guide to Number Theory by Richard Friedberg, 1995-01-09
  11. Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry by Branislav Kisacanin, 1998-10-31
  12. A Course in Computational Number Theory (Textbooks in Mathematical Sciences) by David Bressoud, Stan Wagon, 2000-05-11
  13. Algorithmic Number Theory, Vol. 1: Efficient Algorithms (Foundations of Computing) by Eric Bach, Jeffrey Shallit, 1996-08-26
  14. Surveys in Number Theory: Papers from the Millennial Conference on Number Theory by Millenial Conference on Number Theory, M. A. Bennett, 2002-11-15

121. 4th Panhellenic Conference On Algebra And Number Theory
University of Patras, Greece; 30 May 2 June 2002. Online registration.
4th Panhellenic Conference
Algebra and Number Theory
University of Patras
May 30 - June 2, 2002

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.
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Please use the frame-free version of this document.

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
Project PEN

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
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.
Number Theory
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.
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.
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
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.
Number Theory/Arithmetic Geometry
At Brown University
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

130. Number Theory Day, Wits University, Johannesburg, South-Africa
The John Knopfmacher Centre for Applicable Analysis and number theory. number theory Day.
The John Knopfmacher Centre for Applicable Analysis and Number Theory
Number Theory Day
To Centre Home Page

131. AIM Preprint Series
Mainly in number theory. From 1998, PS and PDF.
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.
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
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:
    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
    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.
    Number Theory at the Mathematics Dept. of the University of Texas
    Permanent faculty in Number Theory, and their fields of interest.
    • Frank Gerth ): Algebraic number theory, including class numbers, class groups, discriminants, class field theory, density theorems, Iwasawa theory.
    • John Tate ): 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 ): 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.
    • ): 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
    The Forum Internet Resource Collection
    has become
    The Internet Mathematics Library
    Please change your links and bookmarks to:
    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: We are now cataloguing only mathematics and math education sites.
    Suggestion Box
    Home The Math Library Help Desk ... Search

    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.
    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.
    Next: Abstract
    Visible Structures in Number Theory
    Centre for Experimental
    Simon Fraser University, Burnaby, B.C. CANADA V5L 2T7 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

    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
    Welcome to the Department of
    Algebra and Number Theory
    Department of Algebra and Number Theory
    Pázmány Péter sétány 1/c.
    H-1117 Budapest
    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.

    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).
    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)

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