Группы $S$-единиц в гиперэллиптических полях и непрерывные дроби

Article Properties
  • Language
    Russian
  • DOI (url)
    10.4213/sm7587
  • Publication Date
    2009/01/01
  • Journal
    Математический сборник
  • Indian UGC (journal)
  • Refrences
    19
  • Citations
    16
  • Валерий Вацлавович Беняш-Кривец
  • Valerii Vatslavovich Benyash-Krivets
  • Владимир Петрович Платонов
  • Vladimir Petrovich Platonov
Refrences
Title Journal Journal Categories Citations Publication Date
Непрерывные дроби и $S$-единицы в гиперэллиптических полях Uspekhi Matematicheskikh Nauk 5 2008
$S$-единицы в гиперэллиптических полях Uspekhi Matematicheskikh Nauk 4 2007
Непрерывные дроби и $S$-единицы в функциональных полях 2008
Группы $S$-единиц в гиперэллиптических полях 2007
Topics in the numerical linear algebra of Toeplitz and Hankel matrices 2004
Citations
Title Journal Journal Categories Citations Publication Date
Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants

 Matematicheskie Zametki 2023
On the classification problem for polynomials with a periodic continued fraction expansion of in hyperelliptic fields Izvestiya: Mathematics
  • Science: Mathematics
 2021
On the classification problem for polynomials $f$ with a periodic continued fraction expansion of $\sqrt{f}$ in hyperelliptic fields

 Известия Российской академии наук. Серия математическая 2 2021
On -units for valuations of the second degree in hyperelliptic fields

 Izvestiya: Mathematics
  • Science: Mathematics
 2020
On $S$-units for valuations of the second degree in hyperelliptic fields

 Известия Российской академии наук. Серия математическая 2 2020
Citations Analysis
Category Category Repetition
Science: Mathematics7
Science: Science (General)2
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A new local-global principle for quadratic functional fields and was published in 2010. The most recent citation comes from a 2023 study titled Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants. This article reached its peak citation in 2021, with 2 citations. It has been cited in 9 different journals. Among related journals, the Russian Mathematical Surveys cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year