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