Advances In The Theory Of Numbers: Proceedings Of The Thirteenth Conference Of The Canadian Number Theory Association (fields Institute Communications)
by Kenneth S. Williams /
2015 / English / PDF
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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 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,
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
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.
-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.