Theta constants, Riemann surfaces, and the modular group : an introduction with applications to uniformization theorems, partition identities and combinatorial number theory /

Theta constants, Riemann surfaces, and the modular group : an introduction with applications to uniformization theorems, partition identities and combinatorial number theory /

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Bibliographic Details
Author / Creator:	Farkas, Hershel M.
Imprint:	Providence, R.I. : American Mathematical Society, c2001.
Description:	xxiv, 531 p. : ill. ; 27 cm.
Language:	English
Series:	Graduate studies in mathematics ; v. 37
Subject:	Functions, Theta. Riemann surfaces. Modular groups. Functions, Theta. Modular groups. Riemann surfaces.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/4497668

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Other authors / contributors:	Kra, Irwin.
ISBN:	0821813927 (acid-free paper)
Notes:	Includes bibliographical references (p. 511-525) and index.

Table of Contents:

The modular group and elliptic function theory
Theta functions with characteristics Function theory for the modular group $\Gamma$ and its subgroups
Theta constant identities Partition theory: Ramanujan congruences and generalizations
Identities related to partition functions
Combinatorial and number theoretic applications
Bibliography
Bibliographical notes
Index