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Matematicheskie Zametki, 2002, Volume 72, Issue 6, Pages 828–833
DOI: https://doi.org/10.4213/mzm470 (Mi mzm470) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Certain Diophantine Properties of the Mahler Measure

A. Dubickas

Vilnius University
Full-text PDF (171 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm470
Abstract: It is proved that a polynomial in several Mahler measures with positive rational coefficients is equal to an integer if and only if all these Mahler measures are integers. An estimate for the distance between a metric Mahler measure and an integer is obtained. Finally, it is proved that the ratio of two distinct Mahler measures of algebraic units is irrational.
Received: 27.06.2001
Revised: 26.02.2002
English version:
Mathematical Notes, 2002, Volume 72, Issue 6, Pages 763–767
DOI: https://doi.org/10.1023/A:1021481611362
Bibliographic databases:
UDC: 511
Language: Russian
Citation: A. Dubickas, “Certain Diophantine Properties of the Mahler Measure”, Mat. Zametki, 72:6 (2002), 828–833; Math. Notes, 72:6 (2002), 763–767
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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