Theorems on partitions from a page in Ramanujan's lost notebook

DOI10.1016/S0377-0427(03)00613-7zbMath1031.11062MaRDI QIDQ1414326

Jinhee Yi, Ae Ja Yee, Bruce C. Berndt

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

theta functionsCongruences for \(p(n)\)Partition function \(p(n)\)

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Dedekind eta function, Dedekind sums (11F20)

Related Items (4)

Identities and congruences for the general partition and Ramanujan's tau functions ⋮ A rank of partitions with overline designated summands ⋮ Families of congruences for fractional partition functions modulo powers of primes ⋮ Some congruences for $(s,t)$-regular bipartitions modulo $t$

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• Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
• Arithmetic properties of the partition function
• Explicit congruences for the partition function modulo every prime
• Remarks on Some Modular Identities

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