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.
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