Doklady Mathematics

, Volume 95, Issue 3, pp 254–258 | Cite as

On the periodicity of continued fractions in hyperelliptic fields

Mathematics

Abstract

On the basis of a given criterion for the quasi-periodicity of continued fractions for elements of the hyperelliptic field L = K(x)(\(\sqrt f \)), where K is an arbitrary field of characteristic different from 2 and fK[x] is a square-free polynomial, new polynomials fQ[x] of odd degree for which the elements of \(\sqrt f \) have periodic continued fraction expansion are found.

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Scientific Research Institute of System AnalysisRussian Academy of SciencesMoscowRussia

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