Large values of modular forms
Number Theory
2013-09-23 v4 Representation Theory
Abstract
We show that there are primitive holomorphic modular forms f of weight two and arbitrary large level N such that for some point z. Thereby we disprove a folklore conjecture that the sup-norm of such forms would be as small as .
Keywords
Cite
@article{arxiv.1207.6134,
title = {Large values of modular forms},
author = {Nicolas Templier},
journal= {arXiv preprint arXiv:1207.6134},
year = {2013}
}