Overview
- 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
Part of the book series: Fields Institute Communications (FIC, volume 77)
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Table of contents (10 papers)
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Front Matter
Keywords
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.
Editors and Affiliations
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 S. Williams
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-1-4939-3201-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2015
Hardcover ISBN: 978-1-4939-3200-9Published: 31 October 2015
Softcover ISBN: 978-1-4939-4991-5Published: 23 August 2016
eBook ISBN: 978-1-4939-3201-6Published: 28 October 2015
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: XX, 235
Number of Illustrations: 7 b/w illustrations, 8 illustrations in colour
Topics: Number Theory