Equidistribution of nilflows and bounds on Weyl sums

Flaminio, Livio; Forni, Giovanni

Document type :

Pré-publication ou Document de travail

Title :

Equidistribution of nilflows and bounds on Weyl sums

Author(s) :

Flaminio, Livio [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Forni, Giovanni [Auteur]
Department of Mathematics [College Park]

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

We prove an effective equidistribution result for a class of higher step nilflows, called filiform nilflows, and derive bounds on Weyl sums for higher degree polynomials with a power saving comparable to the best known, ...
Show more >We prove an effective equidistribution result for a class of higher step nilflows, called filiform nilflows, and derive bounds on Weyl sums for higher degree polynomials with a power saving comparable to the best known, derived by J. Bourgain, C. Demeter and L. Guth and by T. Wooley from their proof of Vinogradov Main Conjecture. Our argument is based on ideas from dynamical systems (cohomological equations, invariant distributions) and on non-Abelian harmonic analysis.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

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