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arxiv: 1003.4433 · v1 · submitted 2010-03-23 · 🧮 math.NT

On certain explicit congruences for mock theta functions

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

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