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Effective Congruences for Mock Theta Functions
AbstractLet be one of Ramanujan’s mock theta functions. We establish the existence of infinitely many linear congruences of the form: 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  and Treneer .
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Andersen, N.; Friedlander, H.; Fuller, J.; Goodson, H. Effective Congruences for Mock Theta Functions. Mathematics 2013, 1, 100-110.View more citation formats
Andersen N, Friedlander H, Fuller J, Goodson H. Effective Congruences for Mock Theta Functions. Mathematics. 2013; 1(3):100-110.Chicago/Turabian Style
Andersen, Nickolas; Friedlander, Holley; Fuller, Jeremy; Goodson, Heidi. 2013. "Effective Congruences for Mock Theta Functions." Mathematics 1, no. 3: 100-110.