We prove that the coefficients of the mock theta functions (Formula Presented) possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly holomorphic modular forms and discuss applications. This extends work of Radu on the behavior of the ordinary partition function.
|Original language||English (US)|
|Number of pages||19|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - Jan 20 2015|
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