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This article is cited in 40 scientific papers (total in 42 papers)
Groups of $S$-units in hyperelliptic fields and continued fractions
V. V. Benyash-Krivetsa, V. P. Platonovb a Belarusian State University
b Scientific Research Institute for System Studies of RAS
Abstract:
New methods for calculating fundamental $S$-units in hyperelliptic fields are found. Continued fractions in
function fields are investigated. As an application, it is proved that if a valuation is defined by a linear
polynomial, then a fundamental $S$-unit in a hyperelliptic field can be found by expanding certain elements into continued fractions.
Bibliography: 11 titles.
Keywords:
$S$-units, valuations, hyperelliptic fields, continued fractions, best approximations.
Received: 10.06.2009
Citation:
V. V. Benyash-Krivets, V. P. Platonov, “Groups of $S$-units in hyperelliptic fields and continued fractions”, Sb. Math., 200:11 (2009), 1587–1615
Linking options:
https://www.mathnet.ru/eng/sm7587https://doi.org/10.1070/SM2009v200n11ABEH004052 https://www.mathnet.ru/eng/sm/v200/i11/p15
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Abstract page: | 640 | Russian version PDF: | 215 | English version PDF: | 19 | References: | 48 | First page: | 24 |
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