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

DOI10.17516/1997-1397-2022-15-1-75-79OpenAlexW4293173044MaRDI QIDQ5068368

B. R. Srivatsa Kumar, Shruthi, Halgar Jagadeesh Gowtham

Publication date: 6 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu976

zbMATH Keywords

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

Mathematics Subject Classification ID

Discontinuous groups and automorphic forms (11Fxx) Enumerative combinatorics (05Axx) Additive number theory; partitions (11Pxx)

Cites Work

• 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
• Some new congruences modulo 5 for the general partition function
• 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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