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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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Eulerian series as Modular forms revisited
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by Eric T. Mortenson PDF
Proc. Amer. Math. Soc. 143 (2015), 2379-2385 Request permission

Abstract:

Recently, Bringmann, Ono, and Rhoades employed harmonic weak Maass forms to prove results on Eulerian series as modular forms. By changing the setting to Appell–Lerch sums, we shorten the proof of one of their main theorems. In addition we discuss connections to recent work of Kang.
References
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Additional Information
  • Eric T. Mortenson
  • Affiliation: Max-Planck-Institut für Mathematik, Vitvatsgasse 7, 53111 Bonn, Germany
  • Email: etmortenson@gmail.com
  • Received by editor(s): September 23, 2013
  • Received by editor(s) in revised form: January 21, 2014, and January 23, 2014
  • Published electronically: February 4, 2015
  • Communicated by: Kathrin Bringmann
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 2379-2385
  • MSC (2010): Primary 11B65, 11F11, 11F27
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12451-3
  • MathSciNet review: 3326020