Some new congruences modulo 5 for the general partition function

DOI10.3103/S1066369X20070099zbMath1461.11135OpenAlexW3049507786MaRDI QIDQ2225880

D. Ranganatha, Shruthi, B. R. Srivatsa Kumar

Publication date: 11 February 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20070099

zbMATH Keywords

\(q\)-identitypartition congruenceRamanujan's general partition function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items (2)

Some New Congruence Identities of General Partition for pr(n) ⋮ Unnamed Item

Cites Work

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• Identities and congruences for the general partition and Ramanujan's tau functions
• Congruences like Ramanujan's for powers of the partition function
• Infinite families of congruences modulo 7 for Ramanujan's general partition function
• Congruences modulo powers of 5 for \(k\)-colored partitions
• Congruences in ordered pairs of partitions
• Congruences of multipartition functions modulo powers of primes
• SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION
• Some Theorems About p_r(n)
• Congruences for the Coefficients of Modular forms and Some New Congruences for the Partition Function
• Ramanujan congruences for p_-k (mod 11')
• Exceptional congruences for powers of the partition function
• Ramanujan Congruences for p_-k(n)
• Congruences for p r (n) and Ramanujan's τ Function
• Identities and Congruences of the Ramanujan Type
• An Identity for the Coefficients of Certain Modular Forms

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