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Fields Institute Communications

Advances in the Theory of Numbers

Proceedings of the Thirteenth Conference of the Canadian Number Theory Association

Editors: Alaca, Ayşe, Alaca, Şaban, Williams, Kenneth (Eds.)

  • Collects research papers devoted to topics in different areas of current research in number theory together in one volume
  • Presents concise surveys of leading edge number theory research
  • Provides surveys of recent advances in number theory made by leaders in the field as well as new advances in the subject
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eBook 71,39 €
price for Spain (gross)
  • ISBN 978-1-4939-3201-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-1-4939-3200-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates the high level of difficulty of problems encountered in number-theoretic research as well as the usefulness of the new ideas arising from its proof.

The thirteenth conference of the Canadian Number Theory Association was held at Carleton University, Ottawa, Ontario, Canada from June 16 to 20, 2014. Ninety-nine talks were presented at the conference on the theme of advances in the theory of numbers. Topics of the talks reflected the diversity of current trends and activities in modern number theory. These topics included modular forms, hypergeometric functions, elliptic curves, distribution of prime numbers, diophantine equations, L-functions, Diophantine approximation, and many more. This volume contains some of the papers presented at the conference. All papers were refereed. The high quality of the articles and their contribution to current research directions make this volume a must for any mathematics library and is particularly relevant to researchers and graduate students with an interest in number theory. The editors hope that this volume will serve as both a resource and an inspiration to future generations of researchers in the theory of numbers.

Table of contents (10 chapters)

  • Identities for Logarithmic Means: A Survey

    Berndt, Bruce C. (et al.)

    Pages 1-10

    Preview Buy Chapter 30,19 €
  • Universal Thickening of the Field of Real Numbers

    Connes, Alain (et al.)

    Pages 11-74

    Preview Buy Chapter 30,19 €
  • Moments of Zeta and Correlations of Divisor-Sums: II

    Conrey, Brian (et al.)

    Pages 75-85

    Preview Buy Chapter 30,19 €
  • A Note on the Theorem of Maynard and Tao

    Freiberg, Tristan

    Pages 87-103

    Preview Buy Chapter 30,19 €
  • A Prime Analogue of Roth’s Theorem in Function Fields

    Liu, Yu-Ru (et al.)

    Pages 105-147

    Preview Buy Chapter 30,19 €

Buy this book

eBook 71,39 €
price for Spain (gross)
  • ISBN 978-1-4939-3201-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-1-4939-3200-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Advances in the Theory of Numbers
Book Subtitle
Proceedings of the Thirteenth Conference of the Canadian Number Theory Association
Editors
  • Ayşe Alaca
  • Şaban Alaca
  • Kenneth Williams
Series Title
Fields Institute Communications
Series Volume
77
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-3201-6
DOI
10.1007/978-1-4939-3201-6
Hardcover ISBN
978-1-4939-3200-9
Series ISSN
1069-5265
Edition Number
1
Number of Pages
XX, 235
Number of Illustrations and Tables
7 b/w illustrations, 8 illustrations in colour
Topics