Number Theory for the Millennium III
eBook - ePub

Number Theory for the Millennium III

  1. 458 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Number Theory for the Millennium III

About this book

Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

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Yes, you can access Number Theory for the Millennium III by M.A. Bennett,Bruce Berndt,N. Boston,A.J. Hildebrand,H.G. Diamond,W. Philipp,W. Phillpp in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Publisher
A K Peters/CRC Press
Year
2023
eBook ISBN
9780429605895
Edition
1
Topic
Mathematics
Subtopic
Number Theory
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface
  7. List of Contributors
  8. Some Remarks on Primality Testing Based on Lucas Functions
  9. Splitting of Primes in Infinite Extensions
  10. The ABC Conjecture and Prime Divisors of the Lucas and Lehmer Sequences
  11. On the Parity of Generalized Partition Functions
  12. Quadratic Twists of Modular Forms and Elliptic Curves
  13. Identities from the Holomorphic Projection of Modular Forms
  14. Iterative Methods for Pairs of Additive Diophantine Equations
  15. Quelques Remarques sur la Theorie d’Iwasawa des Courbes Elliptiques
  16. Computing Rational Points on Curves
  17. Norms of Products and Factors of Polynomials
  18. G. H. Hardy As I Knew Him
  19. Discriminants of Some Painlevé Polynomials
  20. Identities Between Mahler Measures
  21. Normal Integral Bases, Swan Modules and p-Adic L-Functions
  22. Discriminants and Divisibility for Chebyshev-Like Polynomials
  23. Remarks on Adelic Geometry of Numbers
  24. Some Applications of Diophantine Approximation
  25. On the Solutions of a Family of Sextic Thue Equations
  26. Waring’s Problem: A Survey
  27. Chernoff Type Bounds for Sums of Dependent Random Variables and Applications in Additive Number Theory
  28. Prime Divisors of the Bernoulli and Euler Numbers
  29. An Improved Method for Solving the Family of Thue Equations X4 – 2rX2Y2 – sY4 = 1
  30. Constructing Hyperelliptic Curves Using Complex Multiplication
  31. Solving the Pell Equation
  32. A Central Limit Theorem for the Number of Distinct Degrees of Prime Factors in Additive Arithmetical Semigroups