Equidistribution of nilflows and bounds on Weyl sums
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915529255550976 |
|---|---|
| author | Flaminio, Livio Forni, Giovanni |
| author_facet | Flaminio, Livio Forni, Giovanni |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_03618 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equidistribution of nilflows and bounds on Weyl sums Flaminio, Livio Forni, Giovanni Dynamical Systems Number Theory 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. |
| title | Equidistribution of nilflows and bounds on Weyl sums |
| topic | Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2302.03618 |