On congruences of sixth order mock theta function

Yudhisthira Jamudulia; Gouri Shankar Guru

doi:10.5269/bspm.77152

Yudhisthira Jamudulia School of Mathematics Gangadhar Meher University, Amruta Vihar Sambalpur-768004, Odisha,
Gouri Shankar Guru School of Mathematics,Gangadhar Meher University, Amruta Vihar, Sambalpur-768004$ Odisha, INDIA

Resumen

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).

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Citas

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