On Diophantine transference principles

Anish Ghosh; Antoine Marnat

doi:10.1017/S0305004118000014

On Diophantine transference principles

Anish Ghosh, Antoine Marnat

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	415-431
Number of pages	17
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	166
Issue number	3
DOIs	https://doi.org/10.1017/S0305004118000014
Publication status	Published - 2019

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title = "On Diophantine transference principles",

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.",

author = "Anish Ghosh and Antoine Marnat",

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language = "English",

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AU - Marnat, Antoine

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DO - 10.1017/S0305004118000014

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JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

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On Diophantine transference principles

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