Growth of Fourier coefficients of vector-valued automorphic forms
Number Theory
2021-07-20 v2
Abstract
In this article, we establish polynomial-growth bound for the sequence of Fourier coefficients associated to even integer weight vector-valued automorphic forms of Fuchsian groups of the first kind. At the end, their -functions and exponential sums have been discussed.
Keywords
Cite
@article{arxiv.2012.15659,
title = {Growth of Fourier coefficients of vector-valued automorphic forms},
author = {Jitendra Bajpai and Subham Bhakta and Renan Finder},
journal= {arXiv preprint arXiv:2012.15659},
year = {2021}
}
Comments
31 pages, article has been revised: a new section (Section 6) is added