Ramanujan congruences for Siegel modular forms

2009/10/05 by Michael Dewar, Dewar, Michael, Olav K. Richter +1
Mathematics · #11F33 (Primary) 11F46 #11F50 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F33 #msc:11F46 #msc:11F50

paper · pdf · doi:10.48550/arxiv.0910.0787

11 pages

arxiv created 2009/10/05 · arxiv updated 2009/12/01

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.

Related

• Ramanujan type congruences for modular forms of several variables
• Congruences in Hermitian Jacobi and Hermitian modular forms
• The structure of Siegel modular forms modulo p and U(p) congruences
• Relations among Ramanujan-Type Congruences I
• Explainable Ramanujan-type Congruences on Square-Classes of Arithmetic Progressions