The Fifth Moment of modular L-functions
Number Theory
2022-05-17 v3
Abstract
We prove a sharp bound on the fifth moment of modular L-functions of fixed small weight, and large prime level.
Keywords
Cite
@article{arxiv.1701.07507,
title = {The Fifth Moment of modular L-functions},
author = {Eren Mehmet Kiral and Matthew P. Young},
journal= {arXiv preprint arXiv:1701.07507},
year = {2022}
}
Comments
v1: 81 pages. v3: 65 pages. We have extracted some material which now appears in two shorter, stand-alone papers. The calculations of Kloosterman sums and Fourier coefficients of Eisenstein series are in one new paper, and the stationary phase results are in a new paper with Ian Petrow as an additional co-author. This version also implements minor corrections and improvements to exposition