Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624797 | Advances in Applied Mathematics | 2013 | 17 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Su-Ping Cui, Nancy S.S. Gu,