A new proof of a conjecture of Hirschhorn and Sellers on overpartitions

DOI10.1007/S11139-014-9598-ZzbMath1369.11073OpenAlexW1995555913WikidataQ123071956 ScholiaQ123071956MaRDI QIDQ746398

Bernard L. S. Lin

Publication date: 16 October 2015

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

Full work available at URL: https://doi.org/10.1007/s11139-014-9598-z

zbMATH Keywords

partitiontheta functioncongruenceoverpartitionRamanujan type identity

Mathematics Subject Classification ID

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

Related Items (10)

Explicit congruences modulo 2048 for overpartitions ⋮ Congruences modulo 64 and 1024 for overpartitions ⋮ Overpartition function modulo powers of 2 ⋮ INFINITE FAMILIES OF CONGRUENCES FOR OVERPARTITIONS WITH RESTRICTED ODD DIFFERENCES ⋮ 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 ⋮ Arithmetic properties of overcubic partition pairs ⋮ SUMS OF SQUARES AND PARTITION CONGRUENCES

Cites Work

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• Partitions weighted by the parity of the crank
• A short note on the overpartition function
• The overpartition function modulo small powers of 2
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• Jagged partitions
• Quadratic Forms and Four Partition Functions Modulo 3
• Dyson’s crank of a partition
• Proof of a conjecture of Hirschhorn and Sellers on overpartitions

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