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arxiv: 0910.0787 · v1 · submitted 2009-10-05 · 🧮 math.NT

Ramanujan congruences for Siegel modular forms

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keywords formscongruencesmodularsiegelramanujan-typeapplicationconditionsdegree
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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.

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