On The Periodicity of the Continued Fractions in the Hyperelliptic Fields over Quadratic Constant Field

Platonov, V.; Zhgun, Vladimir; Fyodorov, Gleb

doi:10.31857/S086956520003159-7

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On The Periodicity of the Continued Fractions in the Hyperelliptic Fields over Quadratic Constant Field

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On The Periodicity of the Continued Fractions in the Hyperelliptic Fields over Quadratic Constant Field

PII

S086956520003159-7-1

DOI

10.31857/S086956520003159-7

Publication type

Article

Status

Published

Authors

V. Platonov

Affiliation: Scientific Research Institute of System Analysis, RAS
Address: Russian Federation,

Vladimir Zhgun

Affiliation: Scientific Research Institute of System Analysis, RAS
Address: Russian Federation

Gleb Fyodorov

Affiliation: Scientific Research Institute of System Analysis, RAS
Address: Russian Federation

Journal name

Doklady Akademii nauk

Edition

Volume 482 Issue 2

Pages

137-141

Abstract

We give a description of the cubic polynomials f(x) with the coefficients in the quadratic number fields Q(√5) and Q(√—15), for which the continued fraction expansion of the irrationality √f(x) is periodic.

Keywords

Received

06.11.2018

Publication date

06.11.2018

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GOST	Platonov V., Zhgun V., Fyodorov G. On The Periodicity of the Continued Fractions in the Hyperelliptic Fields over Quadratic Constant Field // Doklady Akademii nauk – 2018. – V. 482. – Issue 2 C. 137-141 [Electronic resource]. URL: http://ras.jes.su/dan/s086956520003159-7-1-en (circulation date: 30.04.2024). DOI: 10.31857/S086956520003159-7
MLA	Platonov, V., Zhgun, Vladimir, Fyodorov, Gleb "On The Periodicity of the Continued Fractions in the Hyperelliptic Fields over Quadratic Constant Field." Doklady Akademii nauk 482.2 (2018):137-141. DOI: 10.31857/S086956520003159-7
APA	Platonov V., Zhgun V., Fyodorov G. (2018). On The Periodicity of the Continued Fractions in the Hyperelliptic Fields over Quadratic Constant Field. Doklady Akademii nauk 482(2), pp.137-141 DOI: 10.31857/S086956520003159-7

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