%0 Journal Article
%T Effective Congruences for Mock Theta Functions
%A Nickolas Andersen
%A Holley Friedlander
%A Jeremy Fuller
%A Heidi Goodson
%J Mathematics
%D 2013
%I MDPI AG
%R 10.3390/math1030100
%X Let M(q) = ¡Æc(n) qn be one of Ramanujan¡¯s mock theta functions. We establish the existence of infinitely many linear congruences of the form: c(An + B) ¡Ô 0 (mod lj) where A is a multiple of l and an auxiliary prime, p. Moreover, we give an effectively computable upper bound on the smallest such p for which these congruences hold. The effective nature of our results is based on the prior works of Lichtenstein [1] and Treneer [2].
%K mock theta functions
%K congruences
%K harmonic weak Maass forms
%U http://www.mdpi.com/2227-7390/1/3/100