On certain explicit congruences for mock theta functions

preprint2010arXivOpen access

Abstract

Recently, Garthwaite-Penniston have shown that the coefficients of Ramanujan's mock theta function ωω satisfy infinitely many congruences of Ramanujan-type. In this work we give the first explicit examples of congruences for Ramanujan's mock theta function ωω and another mock theta function C\mathcal{C}.

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