The partition function modulo prime powers

DOI10.1090/S0002-9947-2012-05702-3zbMath1280.11061MaRDI QIDQ2839391

Matthew Boylan, John J. B. Webb

Publication date: 5 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

partitionscongruences

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Modular and automorphic functions (11F03) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

\(\ell\)-adic properties of partition functions ⋮ \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey

Cites Work

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• \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey
• The half-integral weight eigencurve. Appendix: Brian Conrad
• Distribution of the partition function modulo composite integers \(M\)
• Distribution of the partition function modulo \(m\)
• Geometric and \(p\)-adic modular forms of half-integral weight
• Hecke operators on \(\Gamma_0(m)\)
• \(\ell\)-adic properties of partition functions
• Dyson’s crank of a partition
• Multiplicative Congruence Properties and Density Problems for p(n)
• Congruence properties for the partition function
• Proof of a conjecture of Ramanujan
• Ramanujans Vermutung über Zerfällungszahlen.
• Some Properties of Partitions

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