On Congruences of Sixth Order Mock Theta Function

Abstract

In a recent work, Kaur and Rana, obtained several Ramanujan-like congruences and established infinite families of congruences modulo 12 for the coefficients of sixth order mock theta functions λ(q) and ρ(q). Inspired by their approach, in this paper, we develop more generalized results. We extend and enrich their findings by deriving additional infinite families of congruences, including new congruences modulo 3, 6 and 9 for the functions λ(q) and ρ(q).