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Advances in the Theory of Numbers - Proceedings of the Thirteenth Conference of the Canadian Number Theory Association (Hardcover, 1st ed. 2015)
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Advances in the Theory of Numbers - Proceedings of the Thirteenth Conference of the Canadian Number Theory Association (Hardcover, 1st ed. 2015)
Series: Fields Institute Communications, 77
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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.
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