Quadratic Forms and Four Partition Functions Modulo 3

DOI10.1515/INTEG.2011.004zbMath1219.11155arXiv1008.3475OpenAlexW2963042546MaRDI QIDQ3081578

Jeremy Lovejoy, Robert Osburn

Publication date: 9 March 2011

Published in: Integers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3475

zbMATH Keywords

partitionssums of squarescongruencesbinary quadratic formsoverpartitions

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Partitions; congruences and congruential restrictions (11P83)

Related Items (14)

New congruences for overpartitions modulo \(3\) and \(9\) ⋮ Unnamed Item ⋮ Arithmetic properties of partition triples with odd parts distinct ⋮ Ramanujan type identities and congruences for partition pairs ⋮ Ramanujan-type congruences for overpartitions modulo \(3\) ⋮ INFINITE FAMILIES OF CONGRUENCES FOR OVERPARTITIONS WITH RESTRICTED ODD DIFFERENCES ⋮ Ramanujan-type congruences for overpartitions modulo 5 ⋮ Infinite families of congruences modulo 5 and 9 for overpartitions ⋮ Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7 ⋮ New Ramanujan type congruences modulo 5 for overpartitions ⋮ Congruences modulo 9 and 27 for overpartitions ⋮ Overpartition pairs modulo powers of 2 ⋮ Arithmetic properties of bipartitions with even parts distinct ⋮ A new proof of a conjecture of Hirschhorn and Sellers on overpartitions

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