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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the dimension of the space of theta functions
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by Daniel Bump and Alexander Pekker PDF
Proc. Amer. Math. Soc. 130 (2002), 3473-3481 Request permission

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
  • 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
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 3473-3481
  • MSC (2000): Primary 14K25
  • DOI: https://doi.org/10.1090/S0002-9939-02-06570-X
  • MathSciNet review: 1918823