On the dimension of the space of theta functions

We compute the dimension of the space of theta functions of a given type using a variant of the Selberg trace formula.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2002-12, Vol.130 (12), p.3473-3481
Main Authors: Bump, Daniel, Pekker, Alexander
Format: Article
Language:English
Subjects:
Algebra
Algebraic geometry
Analytic functions
Exact sciences and technology
Hilbert spaces
Integers
Kernel functions
Mathematical functions
Mathematical lattices
Mathematical theorems
Mathematics
Meromorphic functions
Sciences and techniques of general use
Vector spaces
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Description
Summary:We compute the dimension of the space of theta functions of a given type using a variant of the Selberg trace formula.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-02-06570-X