Equidistribution of nilflows and bounds on Weyl sums

Flaminio, Livio; Forni, Giovanni

Type de document :

Pré-publication ou Document de travail

Titre :

Equidistribution of nilflows and bounds on Weyl sums

Auteur(s) :

Flaminio, Livio [Auteur]

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

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [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, ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

2302.03618
Accès libre
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