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On Diophantine transference principles

Published online by Cambridge University Press:  20 February 2018

ANISH GHOSH  and
ANTOINE MARNAT
ANISH GHOSH
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India400005. e-mail: [email protected]
ANTOINE MARNAT
Affiliation:
Institute of Analysis and Number theory, Technische Universität Graz, 8010 Garz, Austria. Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK. e-mails: [email protected], [email protected]
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 166 , Issue 3 , May 2019 , pp. 415 - 431
Copyright
Copyright © Cambridge Philosophical Society 2018 

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Footnotes

†

Supported by an ISF-UGC grant.

‡

Supported by the Austrian Science Fund (FWF), Project F5510-N26 and START-project Y-901.

References

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