Inhomogeneous Khitchine-Groshev type theorems on manifolds over function fields
The goal of this paper is to establish a complete Khintchine-Groshev type theorem in both homogeneous and inhomogeneous setting, on analytic nondegenerate manifolds over a local field of positive characteristic. The dual form of Diophantine approximation has been considered here. Our treatise provid...
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | The goal of this paper is to establish a complete Khintchine-Groshev type
theorem in both homogeneous and inhomogeneous setting, on analytic
nondegenerate manifolds over a local field of positive characteristic. The dual
form of Diophantine approximation has been considered here. Our treatise
provides the function field analogues of the various earlier results of this
type, studied in the euclidean and S-adic framework, by Bernik, Kleinbock and
Margulis, Beresnevich, Bernik, Kleinbock and Margulis, Badziahin, Beresnevich
and Velani, Mohammadi and Golsefidy, and Datta and Ghosh. |
---|---|
DOI: | 10.48550/arxiv.2209.12218 |