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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm2540https://doi.org/10.4213/mzm2540 https://www.mathnet.ru/eng/mzm/v77/i6/p854
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Abstract page: | 323 | Full-text PDF : | 188 | References: | 31 | First page: | 1 |
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