Ramanujan congruences for Siegel modular forms
Abstract
We determine conditions for the existence and non-existence of Ramanujan-type congruences for Jacobi forms. We extend these results to Siegel modular forms of degree 2 and as an application, we establish Ramanujan-type congruences for explicit examples of Siegel modular forms.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2009
- DOI:
- 10.48550/arXiv.0910.0787
- arXiv:
- arXiv:0910.0787
- Bibcode:
- 2009arXiv0910.0787D
- Keywords:
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- Mathematics - Number Theory;
- 11F33 (Primary) 11F46;
- 11F50 (Secondary)
- E-Print:
- 11 pages