Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents

Sam Chow, Anish Ghosh, Lifan Guan, Antoine Marnat, David Simmons

Research output: Contribution to journalArticle

Abstract

We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transference inequality for lattices, due to Bugeaud and Laurent, to a weighted setting. We also provide applications to inhomogeneous Diophantine approximation on manifolds and to weighted badly approximable vectors. Finally, we interpret and prove a conjecture of Beresnevich-Velani (2010) about inhomogeneous intermediate exponents.
Original languageUndefined/Unknown
JournalarXiv.org e-Print archive
Publication statusPublished - 22 Aug 2018

Keywords

  • math.NT
  • 11J83

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