Some congruences modulo 5 and 25 for overpartitions

DOI10.1007/S11139-017-9960-ZzbMath1465.11198arXiv1703.00004OpenAlexW2592097198MaRDI QIDQ1623891

Shane Chern, Manosij Ghosh Dastidar

Publication date: 15 November 2018

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

Full work available at URL: https://arxiv.org/abs/1703.00004

zbMATH Keywords

overpartitionsRamanujan-type congruenceRamanujan's theta function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (4)

Explicit congruences modulo 2048 for overpartitions ⋮ Ramanujan-type congruences for overpartitions modulo \(3\) ⋮ On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm ⋮ Infinite families of congruences for \(m\)-regular \([j, k\)-overpartitions in two colors]

Cites Work

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• Ramanujan-type congruences for overpartitions modulo 5
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• The overpartition function modulo small powers of 2
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• The number of representations of a positive integer by certain octonary quadratic forms
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• Proof of a conjecture of Hirschhorn and Sellers on overpartitions

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