Affiliation:
1. Department of Mathematics, Kangwon National University, Chuncheon 24341, Korea
Abstract
We survey divisibility properties of the Fourier coefficients of modular functions inspired by Ramanujan. Then using recent results of the generalized Hecke operator on harmonic Maass functions and known divisibility of Fourier coefficients of modular functions, we establish congruence relations of the Fourier coefficients of certain modular functions and mock modular functions of various levels.
Funder
Ministry of Education, Science and Technology
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory