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

Abstract

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), (5 β , 7), (3 β , 11), (5 β , 11), (3 β , 17)}, β 1.