Article ID Journal Published Year Pages File Type
4624797 Advances in Applied Mathematics 2013 17 Pages PDF
Abstract

For a given prime p, by studying p  -dissection identities for Ramanujanʼs theta functions ψ(q)ψ(q) and f(−q)f(−q), we derive infinite families of congruences modulo 2 for some ℓ  -regular partition functions, where ℓ=2,4,5,8,13,16ℓ=2,4,5,8,13,16.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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