✦ LIBER ✦

Ramanujan's partition congruences

✍ Scribed by M.D. Hirschhorn

Book ID: 103061074
Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 187 KB
Volume: 131
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90397-2

No coin nor oath required. For personal study only.

✦ Synopsis

Simple, uniform proofs are given of Ramanujan's partition congruences p(5n+4)=Omod5, p(7n+5)-Omod7, p(lln+6)=Omodll Also, generating functions are obtained for the partitions involved in Ramanujan's more general congruences.

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