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This volume is dedicated to Harvey Cohn, Distinguished Professor
Emeritus of Mathematics at City College (CUNY). Harvey was one of
the organizers of the New York Number Theory Seminar, and was
deeply involved in all aspects of the Seminar from its first
meeting in January, 1982, until his retirement in December, 1995.
We wish him good health and continued hapiness and success in
mathematics. The papers in this volume are revised and expanded
versions of lectures delivered in the New York Number Theory
Seminar. The Seminar meets weekly at the Graduate School and
University Center of the City University of New York (CUNY). In
addition, some of the papers in this book were presented at a
conference on Combinatorial Number Theory that the New York Number
Theory Seminar organized at Lehman College (CUNY). Here is a short
description of the papers in this volume. The paper of R. T. Bumby
focuses on "elementary" fast algorithms in sums of two and four
squares. The actual talk had been accompanied by dazzling computer
demonstrations. The detailed review of H. Cohn describes the
construction of modular equations as the basis of studies of
modular forms in the one-dimensional and Hilbert cases.
The New York Number Theory Seminar was organized in 1982 to provide
a forum for the presentation and discussion of recent advances in
higher arithmetic and its applications. Papers included in this
volume are based on the lectures presented by their authors at the
Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in
the volume cover a wide spectrum of number theoretic topics ranging
from additive number theory and diophantine approximations to
algebraic number theory and relations with algebraic geometry and
topology.
This is the third Lecture Notes volume to be produced in the
framework of the New York Number Theory Seminar. The papers
contained here are mainly research papers. N
This is a volume of papers presented at the New York Number Theory
Seminar. Since 1982, the Seminar has been meeting weekly during the
academic year at the Graduate School and University Center of the
City University of New York. This collection of papers covers a
wide area of number theory, particularly modular functions,
algebraic and diophantine geometry, and computational number
theory.
This volume marks the 20th anniversary of the New York Number
Theory Seminar (NYNTS). Beginning in 1982, the NYNTS has tried to
present a broad spectrum of research in number theory and related
fields of mathematics, from physics to geometry to combinatorics
and computer science. The list of seminar speakers includes not
only Fields Medallists and other established researchers, but also
many other younger and less well known mathematicians whose
theorems are significant and whose work may become the next big
thing in number theory.
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