S-units and periodicity of continued fractions in hyperelliptic fieldsстатья
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Дата последнего поиска статьи во внешних источниках: 27 ноября 2016 г.
Аннотация:Let L be the function field of a hyperelliptic curve defined over any field of characteristic different from 2, and let S be a set consisting of an infinite and a finite valuation of L. A relationship between the problem of the existence of nontrivial S-units in the field L and the periodicity of the continued fraction expansion of certain key elements of L is discovered for the first time for finite valuations.