The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs

Details The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs

2009-04-02

arxiv.org/abs/0904.0441v1

Mathematics

Combinatorics

28 pages

Scientific paper

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.

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