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Extension of Ramanujan's congruences for the partition function modulo powers of 5

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Publication:2769334
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DOI10.1515/crll.2002.002zbMath0989.11054OpenAlexW2061051467MaRDI QIDQ2769334

Ken Ono, Jeremy Lovejoy

Publication date: 5 February 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/34f6bb80051d82e8d07288a1118ef4cc278b729d


zbMATH Keywords

congruencesnumber of partitionsextension of Ramanujan's congruences


Mathematics Subject Classification ID

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


Related Items (8)

Congruences involving arithmetic progressions for weakly holomorphic modular forms ⋮ The partition function and Hecke operators ⋮ Congruence properties for a certain kind of partition functions ⋮ \(\boldsymbol{U_p}\)-operators and congruences for Shimura images ⋮ \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey ⋮ Parity of the partition function ⋮ Partitions weighted by the parity of the crank ⋮ Some identities for the partition function



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