Fourier transform over finite field and identities between Gauss sums
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
This is a sequel to math.AG/0003009. Here we study identities for the Fourier transform of "elementary functions" over finite field containing "exponents" of monomial rational functions. It turns out that these identities are governed by monomial identities between Gauss sums. We show that similar to the case of complex numbers such identities correspond to linear relations between certain divisors on the space of multiplicative characters.
Keywords
Cite
@article{arxiv.math/0003011,
title = {Fourier transform over finite field and identities between Gauss sums},
author = {David Kazhdan and Alexander Polishchuk},
journal= {arXiv preprint arXiv:math/0003011},
year = {2007}
}
Comments
29 pages, AMSLatex