학술논문
Groups of S-units in hyperelliptic fields and continued fractions
Document Type
Article
Source
Sbornik: Mathematics; December 2009, Vol. 200 Issue: 11 p1587-1615, 29p
Subject
Language
ISSN
10645616; 14684802
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.