On sup-norm bounds part I: ramified Maa{\ss} newforms over number fields
Number Theory
2017-10-03 v1
Abstract
We prove new upper bounds for the sup-norm of Hecke Maa{\ss} newforms on over a number field. Our newforms are more general than those considered in a recent paper by Blomer, Harcos, Maga, and Mili\`cevi\`c: we do not require square free level. Furthermore, we allow for non-trivial central character. Over the rationals we cover the best bounds as obtained by Saha.
Keywords
Cite
@article{arxiv.1710.00362,
title = {On sup-norm bounds part I: ramified Maa{\ss} newforms over number fields},
author = {Edgar Assing},
journal= {arXiv preprint arXiv:1710.00362},
year = {2017}
}