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Matematicheskie Zametki, 2005, Volume 77, Issue 6, Pages 854–860
DOI: https://doi.org/10.4213/mzm2540 (Mi mzm2540) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Length of the Sum and Product of Algebraic Numbers

A. Dubickasa, C. Smythb

a Vilnius University
b University of Edinburgh
Full-text PDF (180 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2540
Abstract: In the present paper, we consider products of lengths of algebraic numbers whose sum or product is a chosen algebraic number. These products are used to construct a new height function for algebraic numbers. With the help of this function, a metric on the set of all algebraic numbers, which induces the discrete topology, is introduced.
Received: 02.04.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 6, Pages 787–793
DOI: https://doi.org/10.1007/s11006-005-0079-y
Bibliographic databases:
UDC: 511
Language: Russian
Citation: A. Dubickas, C. Smyth, “Length of the Sum and Product of Algebraic Numbers”, Mat. Zametki, 77:6 (2005), 854–860; Math. Notes, 77:6 (2005), 787–793
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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