Ramanujan-type congruences for overpartitions modulo 5

DOI10.1016/J.JNT.2014.09.017zbMath1386.11115arXiv1406.3801OpenAlexW2058542468MaRDI QIDQ479572

Rong-Hua Wang, William Y. C. Chen, Li Zhang, Lisa Hui Sun

Publication date: 5 December 2014

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

Full work available at URL: https://arxiv.org/abs/1406.3801

zbMATH Keywords

modular formHecke operatorHecke eigenformoverpartitionRamanujan-type congruence

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (18)

Restricted \(k\)-color partitions ⋮ Some congruences modulo 5 and 25 for overpartitions ⋮ New congruences for overpartitions modulo \(3\) and \(9\) ⋮ Congruences modulo 64 and 1024 for overpartitions ⋮ On Ramanujan-type congruences for multiplicative functions ⋮ Unnamed Item ⋮ On a problem on restricted k-colored partitions ⋮ Overpartition function modulo powers of 2 ⋮ Efficient computation of the overpartition function and applications ⋮ On a problem on restricted \(k\)-colored partitions. II ⋮ Congruences for overpartitions with \(\ell\)-regular over-lined parts ⋮ Ramanujan-type congruences for overpartitions modulo \(3\) ⋮ Infinite families of congruences modulo 5 and 9 for overpartitions ⋮ New Ramanujan type congruences modulo 5 for overpartitions ⋮ Congruences modulo 9 and 27 for overpartitions ⋮ Arithmetic properties of overpartition triples ⋮ New congruences for $\ell$-regular overpartitions ⋮ SUMS OF SQUARES AND PARTITION CONGRUENCES

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