**Proceedings of Symposia in Pure Mathematics**

Volume: 49;
1989;
1094 pp;
Hardcover

MSC: Primary 11;
Secondary 00; 14

**Print ISBN: 978-0-8218-1485-7
Product Code: PSPUM/49**

List Price: $227.00

AMS Member Price: $181.60

MAA Member Price: $204.30

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# Theta Functions–Bowdoin 1987

Share this page *Edited by *
*Robert C. Gunning; Leon Ehrenpreis*

Theta functions have a long and distinguished history and
play a many-faceted and central role in a number of areas of
mathematics. Interest in these functions has rekindled in recent
years as a result of the wide variety of areas in which they have made
major contributions. Crossing the lines of semi-simple Lie group
theory and nilpotent Lie group theory, theta functions are relevant to
the arithmetic of quadratic forms and to partition theory, through
which they relate to statistical mechanics and quantum field theory.
In addition, they are used to study Riemann surfaces, abelian
varieties, and solutions of differential equations from physics. In
this way, they relate to partial differential equations and algebraic
geometry.

This two-volume collection contains the proceedings of an AMS
Summer Research Institute on Theta Functions, held in July 1987 at
Bowdoin College. With papers by some of the top experts in this area,
these volumes will provide readers with an excellent overview of the
current research in and applications of theta functions.