RAMANUJAN'S CONGRUENCES FOR THE PARTITION FUNCTION MODULO 5, 7, AND 11

DOI10.1142/S1793042107000961zbMath1197.11137MaRDI QIDQ5386803

Bruce C. Berndt

Publication date: 14 May 2008

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriesRamanujan's lost notebookPartition congruences

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11) Analytic theory of partitions (11P82)

Related Items (4)

Using periodicity to obtain partition congruences ⋮ A rank of partitions with overline designated summands ⋮ New Ramanujan type congruences modulo 5 for overpartitions ⋮ Divisibility properties of the Fourier coefficients of (mock) modular functions and Ramanujan

Cites Work

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• Congruence properties of functions related to the partition function

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