Vladimir Petrovich Platonov
From MaRDI portal
Publication:3305707
DOI10.1070/RM9938zbMath1445.01024OpenAlexW3039930733MaRDI QIDQ3305707
S. P. Novikov, Vladimir L. Popov, A. N. Parshin, S. I. Adyan, Dmitrij V. Treshev, Valery V. Kozlov, Victor M. Buchstaber, Efim I. Zelmanov, Yu. V. Matiyasevich, Sergei V.Kislyakov, Dmitri O. Orlov
Publication date: 10 August 2020
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/umn/v75/i2/p197
Cites Work
- Fundamental \(S\)-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves
- \(S\)-units and periodicity of continued fractions in hyperelliptic fields
- New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order
- \(S\)-units in hyperelliptic fields and periodicity of continued fractions
- Continued rational fractions in hyperelliptic fields and the Mumford representation
- On the periodicity of continued fractions in hyperelliptic fields over quadratic constant field
- An infinite family of curves of genus 2 over the field of rational numbers whose Jacobian varieties contain rational points of order 28
- On the finiteness of hyperelliptic fields with special properties and periodic expansion of \(\sqrt{f}\)
- On new arithmetic properties of determinants of Hankel matrices
- Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields
- On the finiteness of the number of elliptic fields with given degrees of \(S\)-units and periodic expansion of \( \sqrt f\)
- On infinite-dimensional integer Hankel matrices
- On \(S\)-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields
- On the periodicity of continued fractions in hyperelliptic fields
- On the periodicity of continued fractions in elliptic fields
- $ S$-Units and periodicity in quadratic function fields
- On the problem of periodicity of continued fractions in hyperelliptic fields
- On new properties of Hankel matrices over the field of rational numbers