On certain explicit congruences for mock theta functions

Details On certain explicit congruences for mock theta functions On certain explicit congruences for mock theta functions

2010-03-23

arxiv.org/abs/1003.4433v1

Mathematics

Number Theory

Scientific paper

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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