In this thesis, we introduce a new space of Hermitian Jacobi forms, and we determine its structure. As an application, we study heat cycles of Hermitian Jacobi forms, and we establish a criterion for the existence of U(p) congruences of Hermitian Jacobi forms. We demonstrate that criterion with some explicit examples. Finally, in the appendix we give tables of Fourier series coefficients of several Hermitian Jacobi forms.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc700083 |
| Date | 08 1900 |
| Creators | Senadheera, Jayantha |
| Contributors | Richter, Olav K., Cherry, William A., Conley, Charles H. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 60 pages, Text |
| Rights | Public, Senadheera, Jayantha, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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