Ramanujan congruences for Siegel modular forms

Mathematics – Number Theory

Scientific paper

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11 pages

Scientific paper

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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