Spectral reciprocity via integral representations
Number Theory
2023-08-30 v2
Abstract
We prove a spectral reciprocity formula for automorphic forms on over a number field that is remininscent of the one found by Blomer and Khan. Our approach uses period representations of -functions and the language of automorphic representations.
Keywords
Cite
@article{arxiv.2002.01993,
title = {Spectral reciprocity via integral representations},
author = {Ramon M. Nunes},
journal= {arXiv preprint arXiv:2002.01993},
year = {2023}
}
Comments
Many improvements throughout the text. Including the inclusion of a previously neglected main term