Coefficient Bounds for Level 2 Cusp Forms and Modular Functions
Number Theory
2014-08-06 v1
Abstract
We give explicit upper bounds for the coefficients of arbitrary weight , level 2 cusp forms, making Deligne's well-known bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.
Cite
@article{arxiv.1408.1083,
title = {Coefficient Bounds for Level 2 Cusp Forms and Modular Functions},
author = {Paul Jenkins and Kyle Pratt},
journal= {arXiv preprint arXiv:1408.1083},
year = {2014}
}