Ramanujan’s Elementary Method in Partition Congruences

DOI10.1007/978-1-4614-0028-8_2zbMath1263.11094OpenAlexW13311319MaRDI QIDQ2897226

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Publication date: 10 July 2012

Published in: Partitions, q-Series, and Modular Forms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-0028-8_2

zbMATH Keywords

partitionsJacobi's identitycongruencesWinquist's identitypentagonal number theorem

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (4)

Families of congruences for fractional partition functions modulo powers of primes ⋮ Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra ⋮ Restricted k-color partitions, II ⋮ On weighted overpartitions related to some q-series in Ramanujan’s lost notebook

Cites Work

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• Ramanujan and the congruence properties of partitions
• Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
• Ramanujan's method in \(q\)-series congruences
• SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION
• Congruences for the Coefficients of Modular forms and Some New Congruences for the Partition Function
• Ramanujan Congruences for p_-k(n)
• An elementary proof of p(11m+6)≡0 (mod 11)
• Identities and Congruences of the Ramanujan Type
• Ramanujan's Lost Notebook

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