Generalized congruence properties of the restricted partition function \(p(n,m)\)

DOI10.1007/s11139-012-9382-xzbMath1267.05032OpenAlexW2161998432MaRDI QIDQ1955559

Brandt Kronholm

Publication date: 14 June 2013

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

Full work available at URL: https://doi.org/10.1007/s11139-012-9382-x

zbMATH Keywords

generating functioncongruenceRamanujan-type congruences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (5)

Symmetry and prime divisibility properties of partitions of \(n\) into exactly \(m\) parts ⋮ On congruence properties of the restricted partition functions \(p_{\omega}(n,k)\) and \(p_{\nu}(n,k)\) ⋮ On restricted partitions of numbers ⋮ On the number of conjugate classes of derangements ⋮ Unnamed Item

Cites Work

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• Periodicities of partition functions and Stirling numbers modulo \(p\)
• Periodicities of a class of infinite integer sequences modulo M
• Distribution of the partition function modulo composite integers \(M\)
• Distribution of the partition function modulo \(m\)
• On congruence properties of 𝑝(𝑛,𝑚)
• Proof of a conjecture of Ramanujan
• Partitions - a survey
• Ramanujans Vermutung über Zerfällungszahlen.

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