On the constant terms of certain meromorphic modular forms for Hecke groups
Number Theory
2022-12-26 v1
Abstract
We study polynomials interpolating the (rational) constant terms of certain meromorphic modular forms for Hecke groups. We make observations about the divisibility properties of the constant terms and connect them to several sequences, for example, to O.E.I.S. sequence A005148 \cite{OEISNewmanShanks}, which was studied by Newman, Shanks and Zagier \cite{newman2004sequence}, \cite{newman2004sequenceAppendix} in an article on its use in series approximations to .
Keywords
Cite
@article{arxiv.2212.12515,
title = {On the constant terms of certain meromorphic modular forms for Hecke groups},
author = {Barry Brent},
journal= {arXiv preprint arXiv:2212.12515},
year = {2022}
}