RAMANUJAN CONGRUENCES FOR SIEGEL MODULAR FORMS

DOI10.1142/S179304211000371XzbMath1221.11111arXiv0910.0787OpenAlexW2129660780MaRDI QIDQ3067884

Olav K. Richter, Michael Dewar

Publication date: 13 January 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0787

zbMATH Keywords

Jacobi formsFourier-Jacobi expansionSiegel modular formsRamanujan congruences

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Jacobi forms (11F50)

Related Items (4)

Sturm bounds for Siegel modular forms ⋮ Paramodular cusp forms ⋮ Structure of Hermitian modular forms modulo \(p\) and some applications ⋮ Congruences in Hermitian Jacobi and Hermitian modular forms

Cites Work

• Unnamed Item
• Congruences like Ramanujan's for powers of the partition function
• Über eine Spezialschar von Modulformen zweiten Grades. (On a Spezialschar of modular forms of second degree.)
• \(p\)-adic aspects of Jacobi forms
• Arithmetic properties of the partition function
• Linear dependence among Siegel modular forms
• Note on mod \(p\) Siegel modular forms
• Distribution of the partition function modulo \(m\)
• On mod \(p\) properties of Siegel modular forms
• On congruences of Jacobi forms
• RAMANUJAN CONGRUENCES FOR A CLASS OF ETA QUOTIENTS
• The action of the heat operator on Jacobi forms
• CONGRUENCES FOR MODULAR FORMS OF NON-POSITIVE WEIGHT

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