On Diophantine transference principles
Anish Ghosh, Antoine Marnat
TL;DR
This paper extends transference principles in Diophantine approximation, linking homogeneous and inhomogeneous cases on manifolds, and provides bounds for inhomogeneous exponents on affine subspaces and their submanifolds.
Contribution
It introduces new transference results connecting homogeneous and inhomogeneous Diophantine approximation on manifolds, with bounds for exponents on affine subspaces.
Findings
Extended transference results for Diophantine approximation
Bounds for inhomogeneous Diophantine exponents on affine subspaces
Connections between homogeneous and inhomogeneous approximation on manifolds
Abstract
We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for inhomogeneous Diophantine exponents of affine subspaces and their nondegenerate submanifolds.
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