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HOW SMALL CAN POLYNOMIALS BE IN AN INTERVAL OF GIVEN LENGTH?

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

Published online by Cambridge University Press:  13 March 2019

VASILI BERNIK  and
STEPHEN Mc GUIRE
VASILI BERNIK
Affiliation:
Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus e-mail: [email protected]
STEPHEN Mc GUIRE
Affiliation:
Department of Mathematics, National University of Ireland Maynooth, Maynooth, Kildare, Ireland e-mail: [email protected]
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Abstract

In this paper, we provide two new extensions to a lemma of Bernik (1983). Applications are also discussed.

MSC classification

Primary: 11J83: Metric theory
Secondary: 11K60: Diophantine approximation 11K55: Metric theory of other algorithms and expansions; measure and Hausdorff dimension
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Issue 2 , May 2020 , pp. 261 - 280
Copyright
Copyright © Glasgow Mathematical Journal Trust 2019

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