A SIMPLE PROOF OF A CONJECTURE OF DOU ON (3, 7)-REGULAR BIPARTITIONS MODULO 3

摘要

We provide a simple proof for the Ramanujan-type congruence for (3, 7)-regular bipartitions modulo 3 which was conjectured by Donna.Q.J.Dou. Furthermore, we also find some new infinite families of congruences for (3, 7)-regular bipartitions modulo 3.