Fourier expansion of light-cone Eisenstein series
Number Theory
2023-08-09 v2
Abstract
In this work we give an explicit formula for the Fourier coefficients of Eisenstein series corresponding to certain arithmetic lattices acting on hyperbolic n+1-space. As a consequence we obtain results on location of all poles of these Eisenstein series as well as their supremum norms. We use this information to get new results on counting rational points on spheres.
Keywords
Cite
@article{arxiv.2209.06696,
title = {Fourier expansion of light-cone Eisenstein series},
author = {Dubi Kelmer and Shucheng Yu},
journal= {arXiv preprint arXiv:2209.06696},
year = {2023}
}
Comments
61 pages; corrected a mistake in Theorem 1.5 and various other small improvements in presentation