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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{chow2026note,
  title = {{A note on the $p$-adic inhomogeneous Littlewood conjecture}},
  author = {Sam Chow and Owen Jones},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15809},
  eprint = {2610.15809},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15809},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A note on the p-adic inhomogeneous Littlewood conjecture
AU  - Sam Chow
AU  - Owen Jones
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15809
UR  - https://arxiv.org/abs/2610.15809
AB  - 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.
ER  -