Some new congruences for (s,t)-regular bipartition functions

摘要

Let Bs,t(n) denote the number of (s,t)-regular bipartitions of n. We prove several infinite families of congruences modulo t for Bs,t(n) where (s,t) ? {(2,7), (5β, 7), (3β, 11), (5β, 11), (3β, 17)}, β ≥ 1.