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Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 (1306.4386v1)

Published 18 Jun 2013 in math.NT

Abstract: We prove that the coefficients of certain mock theta functions 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 modulo 2 and 3.

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