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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Periods of Eisenstein series and some applications
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by Zachary A. Kent PDF
Proc. Amer. Math. Soc. 139 (2011), 3789-3794 Request permission

Abstract:

Bringmann, Guerzhoy, Ono, and the author developed an Eichler-Shimura theory for weakly holomorphic modular forms by studying associated period polynomials. Here we include the Eisenstein series in this theory.
References
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Additional Information
  • Zachary A. Kent
  • Affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322
  • Email: kent@mathcs.emory.edu
  • Received by editor(s): August 17, 2010
  • Published electronically: July 12, 2011
  • Additional Notes: The author would like to thank Pavel Guerzhoy, Ken Ono, Don Zagier, and the referee for several suggestions that improved this paper.
  • Communicated by: Ken Ono
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 3789-3794
  • MSC (2010): Primary 11F67, 11F03
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10770-6
  • MathSciNet review: 2823025