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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the dimension of the space of theta functions


Authors: Daniel Bump and Alexander Pekker
Journal: Proc. Amer. Math. Soc. 130 (2002), 3473-3481
MSC (2000): Primary 14K25
Published electronically: April 22, 2002
MathSciNet review: 1918823
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Abstract: 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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Additional Information

Daniel Bump
Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305
Email: bump@math.stanford.edu

Alexander Pekker
Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305
Address at time of publication: 1841 Palisades Drive, Santa Rosa, California 95403
Email: apekker@stanfordalumni.org

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06570-X
PII: S 0002-9939(02)06570-X
Received by editor(s): July 12, 2001
Published electronically: April 22, 2002
Additional Notes: We would like to thank Dennis Hejhal for help with the references.
Communicated by: Dennis A. Hejhal
Article copyright: © Copyright 2002 American Mathematical Society