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RESTRICTED SIMULTANEOUS DIOPHANTINE APPROXIMATION

Part of: Exponential sums and character sums Probabilistic theory: distribution modulo $1$; metric theory of algorithms Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  26 July 2016

Stephan Baier  and
Anish Ghosh
Stephan Baier
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, 400005, India email sbaier@math.tifr.res.in
Anish Ghosh
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, 400005, India email ghosh@math.tifr.res.in
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Abstract

We study the problem of Diophantine approximation on lines in $\mathbb{R}^{d}$ under certain primality restrictions.

MSC classification

Primary: 11J83: Metric theory 11K60: Diophantine approximation 11L07: Estimates on exponential sums

Information

Type
Research Article
Information
Mathematika , Volume 63 , Issue 1 , 2017 , pp. 34 - 52
Copyright
Copyright © University College London 2016 

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