Higher level quadratically twisted Gauss sums and totally isotropic subspaces
Number Theory
2017-08-29 v1
Abstract
We consider a generalized Gauss sum supported on matrices over a number field. We evaluate this Gauss sum and relate it to the number of totally isotropic subspaces of related quadratic spaces. Then we consider a further generalization of such a Gauss sum, realizing its value in terms of numbers of totally isotropic subspaces of related quadratic spaces.
Cite
@article{arxiv.1708.07978,
title = {Higher level quadratically twisted Gauss sums and totally isotropic subspaces},
author = {Lynne Walling},
journal= {arXiv preprint arXiv:1708.07978},
year = {2017}
}