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scientific article; zbMATH DE number 7310047

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7310047

Statements

scholarly article

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publication date

15 February 2021

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full work available at URL

http://mathnet.ru/eng/cheb876

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zbMATH Keywords

continued fractions

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fundamental units

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\(S\)-units

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torsion in the Jacobians

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hyperelliptic fields

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divisors

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divisor class group

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MaRDI profile type

MaRDI publication profile

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Universal Bounds on the Torsion of Elliptic Curves

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Multiples of Points on Elliptic Curves and Continued Fractions

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On the periodicity of continued fractions in elliptic fields

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On the problem of periodicity of continued fractions in hyperelliptic fields

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Torsion points on elliptic curves over all quadratic fields

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Torsion points on elliptic curves defined over quadratic fields

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On the periodicity of continued fractions in hyperelliptic fields over quadratic constant field

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On the finiteness of hyperelliptic fields with special properties and periodic expansion of \(\sqrt{f}\)

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On the finiteness of the number of elliptic fields with given degrees of \(S\)-units and periodic expansion of \( \sqrt f\)

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Bounds for the torsion of elliptic curves over number fields

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Genus-2 Jacobians with torsion points of large order

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Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field

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An infinite family of curves of genus 2 over the field of rational numbers whose Jacobian varieties contain rational points of order 28

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Groups of<i>S</i>-units in hyperelliptic fields and continued fractions

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\(S\)-units and periodicity of continued fractions in hyperelliptic fields

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$ S$-Units and periodicity in quadratic function fields

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\(S\)-units in hyperelliptic fields and periodicity of continued fractions

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On the periodicity of continued fractions in hyperelliptic fields

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Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields

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On -units for valuations of the second degree in hyperelliptic fields

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Периодические непрерывные дроби и $S$-единицы с нормированиями второй степени в гиперэллиптических полях

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Continued rational fractions in hyperelliptic fields and the Mumford representation

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5150387

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