Work

A note on the $p$-adic inhomogeneous Littlewood conjecture

Year: 2026

Type: preprint

Abstract: Bugeaud, Haynes and Velani (2011) resolved a metric version of the $p$-adic Littlewood conjecture. We establish a fully inhomogeneous generalisation of their result, as well as a partially inhomogeneous generalisation of a result of Harrap and Haynes (2013) in the more general mixed setting.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15809

Authors: Chow, Sam, Jones, Owen

Institution: University of Warwick

Language: English

Topic: p-Adic Analysis and Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221758798

Cites: 3

Cited by:

Related to: 10