Fourier transform over finite field and identities between Gauss sums

D. Kazhdan; A. Polishchuk

doi:10.1007/s00029-003-0279-9

Fourier transform over finite field and identities between Gauss sums

D. Kazhdan, A. Polishchuk

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is a sequel to [7]. Here we study identities for the Fourier transform of "elementary functions" over finite fields containing "exponentials" of rational monomial 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.

Original language	English
Pages (from-to)	63-100
Number of pages	38
Journal	Selecta Mathematica
Volume	9
Issue number	1
DOIs	https://doi.org/10.1007/s00029-003-0279-9
State	Published - Apr 2003

Keywords

Fourier transform
Gauss sum
perverse sheaf

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Fourier transform over finite field and identities between Gauss sums

Abstract

Keywords

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