Arithmetic of the 13-regular partition function modulo 3

DOI10.1007/s11139-010-9227-4zbMath1252.11086OpenAlexW1995222009MaRDI QIDQ539132

John J. B. Webb

Publication date: 27 May 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-010-9227-4

zbMATH Keywords

Fourier coefficients of modular formsregular partitions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

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Cites Work

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• The \(p^{a}\)-regular partition function modulo \(p^{j}\)
• \(l\)-divisibility of \(l\)-regular partition functions
• Divisibility of certain partition functions by powers of primes
• Distribution of the partition function modulo composite integers \(M\)
• The 2-adic behavior of the number of partitions into distinct parts
• Distribution of the partition function modulo \(m\)
• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
• The arithmetic of partitions into distinct parts
• Congruence properties for the partition function

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