Fourier transform over finite field and identities between Gauss sums

Details Fourier transform over finite field and identities between Gauss sums Fourier transform over finite field and identities between Gauss sums

2000-03-02

arxiv.org/abs/math/0003011v1

Mathematics

Algebraic Geometry

29 pages, AMSLatex

Scientific paper

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.

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