$L^4$-norms of Hecke newforms of large level
Number Theory
2013-05-09 v1
Abstract
We prove a new upper bound for the -norm of a holomorphic Hecke newform of large fixed weight and prime level . This is achieved by proving a sharp mean value estimate for a related -function on GL(6)
Cite
@article{arxiv.1305.1850,
title = {$L^4$-norms of Hecke newforms of large level},
author = {Jack Buttcane and Rizwanur Khan},
journal= {arXiv preprint arXiv:1305.1850},
year = {2013}
}
Comments
12 pages