The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs
Abstract
Description
In this paper we will give a unified proof of several results on the sovability of systems of certain equations over finite fields, which were recently obtained by Fourier analytic methods.
Roughly speaking, we show that almost all systems of norm, bilinear or quadratic equations over finite fields are solvable in any large subset of vector spaces over finite fields.
28 pages
28 pages