English

The balanced Voronoi formulas for GL(n)

Number Theory 2017-10-04 v2

Abstract

In this paper we show how the GL(N) Voronoi summation formula of [MiSc2] can be rewritten to incorporate hyper-Kloosterman sums of various dimensions on both sides. This generalizes a formula for GL(4) with ordinary Kloosterman sums on both sides that was considered by Xiaoqing Li and the first-named author, and later by the second-named author in [Zho].

Cite

@article{arxiv.1612.04886,
  title  = {The balanced Voronoi formulas for GL(n)},
  author = {Stephen D. Miller and Fan Zhou},
  journal= {arXiv preprint arXiv:1612.04886},
  year   = {2017}
}
R2 v1 2026-06-22T17:24:14.835Z