Effective Congruences for Mock Theta Functions

Mathematics

Nickolas Andersen³  Holley Friedlander¹  Jeremy Fuller² 

[1] Department of Mathematics, University of Massachusetts, Lederle Graduate Research Tower, Amherst, MA 01003, USA; E-Mail:;Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, USA; E-Mail:;Department of Mathematics, University of Illinois at Urbana-Champaign, 409 W. Green Street, Urbana, IL 61801, USA; E-Mail:

关键词: mock theta functions;    congruences;    harmonic weak Maass forms;   

DOI  :  10.3390/math1030100

来源: mdpi

【 摘 要 】

Letwhere 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].

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.