$ S$-Units and periodicity in quadratic function fields

DOI10.1070/RM9737zbMath1357.11111OpenAlexW2551090400MaRDI QIDQ2965812

M. M. Petrunin, Vladimir Platonov

Publication date: 3 March 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9737

zbMATH Keywords

continued fractions\(S\)-unitshyperelliptic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Continued fractions and generalizations (11J70) Elliptic and modular units (11G16)

Related Items (15)

\(S\)-units and periodicity of square root in hyperelliptic fields ⋮ On the periodicity of continued fractions in hyperelliptic fields ⋮ On the problem of periodicity of continued fractions in hyperelliptic fields ⋮ On the periodicity of continued fractions in elliptic fields ⋮ О НЕКОТОРЫХ СВОЙСТВАХ НЕПРЕРЫВНЫХ ПЕРИОДИЧЕСКИХ ДРОБЕЙ С НЕБОЛЬШОЙ ДЛИНОЙ ПЕРИОДА, СВЯЗАННЫХ С ГИПЕРЭЛЛИПТИЧЕСКИМИ ПОЛЯМИ И S-ЕДИНИЦАМИ ⋮ Periodicity criterion for continued fractions of key elements in hyperelliptic fields ⋮ Периодические непрерывные дроби и $S$-единицы с нормированиями второй степени в гиперэллиптических полях ⋮ Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ On -units for valuations of the second degree in hyperelliptic fields ⋮ On the problem of classification of periodic continued fractions in hyperelliptic fields ⋮ On the finiteness of hyperelliptic fields with special properties and periodic expansion of \(\sqrt{f}\) ⋮ Vladimir Petrovich Platonov ⋮ Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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