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

Sam Chow; Owen Jones

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arXiv · 2610.15809

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

Sam Chow·Owen Jones

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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.

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Sam Chow, Owen Jones. 2026-10-11. A note on the $p$-adic inhomogeneous Littlewood conjecture. https://arxiv.org/abs/2610.15809

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