Congruences Among Power Series Coefficients of Modular Forms
Number Theory
2013-10-09 v3
Abstract
Many authors have investigated the congruence relations amongst the coefficients of power series expansions of modular forms in modular functions . In a recent paper, R. Osburn and B. Sahu examine several power series expansions and prove that the coefficients exhibit congruence relations similar to the congruences satisfied by the Ap\'ery numbers associated with the irrationality of . We show that many of the examples of Osburn and Sahu are members of infinite families.
Keywords
Cite
@article{arxiv.1309.4320,
title = {Congruences Among Power Series Coefficients of Modular Forms},
author = {Richard Moy},
journal= {arXiv preprint arXiv:1309.4320},
year = {2013}
}
Comments
24 pages