Diophantine sets and Dirichlet improvability

Antoine Marnat

doi:10.2140/moscow.2022.11.189

Abstract

This note pushes further the discussion by Beresnevich, Guan, Marnat, Ramirez, and Velani (Adv. Math. 401 (2022), art. id. 108316) about relations between Dirichlet improvable, badly approximable and singular points by considering Diophantine sets extending the notion of bad approximability.

Citation

Download Citation

Antoine Marnat. "Diophantine sets and Dirichlet improvability." Mosc. J. Comb. Number Theory 11 (2) 189 - 196, 2022. https://doi.org/10.2140/moscow.2022.11.189

Information

Received: 26 January 2022; Revised: 23 March 2022; Accepted: 7 April 2022; Published: 2022

First available in Project Euclid: 1 September 2022

MathSciNet: MR4469872

zbMATH: 1508.11069

Digital Object Identifier: 10.2140/moscow.2022.11.189

Subjects:

Primary: 11J13

Keywords: diophantine approximation , geometry of numbers , metric Diophantine approximation

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS