Fourier transform over finite field and identities between Gauss sums

dc.creatorKazhdan, David
dc.creatorPolishchuk, Alexander
dc.date2000-03-02
dc.date.accessioned2026-07-07T04:34:10Z
dc.date.available2026-07-07T04:34:10Z
dc.descriptionThis 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.
dc.description29 pages, AMSLatex
dc.identifierhttps://arxiv.org/abs/math/0003011
dc.identifierhttp://arxiv.org/abs/math/0003011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58798
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleFourier transform over finite field and identities between Gauss sums
dc.typetext

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