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On the Conjecture of Lehmer, Limit Mahler Measure of Trinomials and Asymptotic Expansions Cover

On the Conjecture of Lehmer, Limit Mahler Measure of Trinomials and Asymptotic Expansions

Uniform distribution theory
Volume 11 (2016): Issue 1 (June 2016)
By: Jean-Louis Verger-Gaugry  
Open Access
|Jan 2017

Authors

Jean-Louis Verger-Gaugry

Jean-Louis.Verger-Gaugry@univ-smb.fr

DOI: https://doi.org/10.1515/udt-2016-0006 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
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Language: English
Page range: 79 - 139
Submitted on: Mar 20, 2015
Accepted on: Sep 14, 2015
Published on: Jan 13, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Mahler measure,
trinomial,
Lehmer Conjecture,
asymptotic expansion,
divergent series,
Perron number,
Pisot number,
Schinzel-Zassenhaus conjecture,
Smyth conjecture,
Lind-Boyd Conjecture,
Boyd Conjecture,
Erdős-Turán-Mignotte-Amoroso,
discrepancy function,
limit equidistribution
Related subjects:
Mathematics,
Algebra and number theory,
Discrete mathematics,
Probability and statistics,
Numerical and computational mathematics

© 2017 Jean-Louis Verger-Gaugry, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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