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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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Hermitian Jacobi forms and $U(p)$ congruences
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by Olav K. Richter and Jayantha Senadheera PDF
Proc. Amer. Math. Soc. 143 (2015), 4199-4210 Request permission

Abstract:

We introduce a new space of Hermitian Jacobi forms, and we determine its structure. Moreover, we characterize $U(p)$ congruences of Hermitian Jacobi forms, and we discuss an explicit example.
References
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Additional Information
  • Olav K. Richter
  • Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
  • ORCID: 0000-0003-3886-0893
  • Email: richter@unt.edu
  • Jayantha Senadheera
  • Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
  • Address at time of publication: Department of Mathematics and Computer Science, Faculty of Natural Sciences, The Open University of Sri Lanka, Nawala 10250, Sri Lanka
  • Email: jayantha.senadheera@gmail.com
  • Received by editor(s): June 11, 2014
  • Published electronically: March 18, 2015
  • Additional Notes: The first author was partially supported by Simons Foundation Grant $\#200765$
  • Communicated by: Ken Ono
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 4199-4210
  • MSC (2010): Primary 11F50; Secondary 11F33
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12562-2
  • MathSciNet review: 3373920