On the balanced Voronoi formula for GL$_N$
Number Theory
2019-10-29 v1 Representation Theory
Abstract
S.D. Miller and F. Zhou have proved a balanced Voronoi summation formula for GL over , which allows one to control the dimensions of the Kloosterman sums appearing on either side of the Voronoi formula. In this note, we prove a balanced Voronoi formula over an arbitrary number field, starting with the Voronoi summation formula of A. Ichino and N. Templier over number fields, allowing one to extend recent results on spectral reciprocity laws to number fields, in special cases.
Cite
@article{arxiv.1910.12426,
title = {On the balanced Voronoi formula for GL$_N$},
author = {Tian An Wong},
journal= {arXiv preprint arXiv:1910.12426},
year = {2019}
}
Comments
8 pages. Functiones et Approximatio, Commentarii Mathematici