Higher level quadratically twisted Gauss sums and totally isotropic subspaces

2017/08/26 by Lynne H. Walling, Walling, Lynne
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1708.07978

openalex publication_date 2017/08/26 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28

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.

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