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Powers of Euler's product and related identities

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Publication:1591449
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DOI10.1023/A:1009827103485zbMath0989.11053MaRDI QIDQ1591449

Shaun Cooper, Michael D. Hirschhorn, Richard P. Lewis

Publication date: 24 July 2002

Published in: The Ramanujan Journal (Search for Journal in Brave)


zbMATH Keywords

Euler's productsMacDonald's identities


Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions associated with root systems (33D67)


Related Items

On the number of primitive representations of integers as sums of squares ⋮ THE QUINTUPLE PRODUCT IDENTITY ⋮ On certain weighted 7-colored partitions ⋮ Ramanujan's Eisenstein series and powers of Dedekind's eta-function ⋮ The 26th power of Dedekind's \(\eta\) -function ⋮ Ramanujan-style proof of \(p_{-3}(11n+7) \equiv 0 \pmod{11}\) ⋮ Ramanujan type identities and congruences for partition pairs ⋮ On the number of representations of certain integers as sums of 11 or 13 squares. ⋮ On a certain vector crank modulo 7 ⋮ Multiplicative relations in powers of Euler's product ⋮ Weighted generalized crank moments for \(k\)-colored partitions and Andrews-Beck type congruences ⋮ Unnamed Item



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