Divisibility Properties of Coefficients of Level $p$ Modular Functions for Genus Zero Primes
Number Theory
2013-05-14 v1
Abstract
Lehner's 1949 results on the -invariant showed high divisibility of the function's coefficients by the primes . Expanding his results, we examine a canonical basis for the space of level modular functions holomorphic at the cusp 0. We show that the Fourier coefficients of these functions are often highly divisible by these same primes.
Cite
@article{arxiv.1106.1188,
title = {Divisibility Properties of Coefficients of Level $p$ Modular Functions for Genus Zero Primes},
author = {Nickolas Andersen and Paul Jenkins},
journal= {arXiv preprint arXiv:1106.1188},
year = {2013}
}