On certain explicit congruences for mock theta functions

Waldherr, Matthias

doi:10.1090/S0002-9939-2010-10538-5

On certain explicit congruences for mock theta functions
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by Matthias Waldherr PDF

Proc. Amer. Math. Soc. 139 (2011), 865-879 Request permission

Abstract:

Recently, Garthwaite and 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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