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August 18, 2026
HSE Scholar Presents Research on Postcards in Brazil and South Korea
Timur Khusyainov, Deputy Dean of theFaculty of Humanities atHSE University–Nizhny Novgorod, took part in two international conferences—the XVI World Congress of Rural Sociology in Porto Alegre, Brazil, and the 36th Annual Conference of the Alliance of Digital Humanities Organisations (DH2026) in Daejeon, South Korea. On his way to the conferences, the researcher also visited several other places, where he presented the experience of the Pochtovoe educational project.
August 18, 2026
Physicists Discover What Happens Inside a Stable Vortex
Large vortices with characteristic spiral arms are often observed in the atmosphere and the ocean. Physicists from HSE University have explained how these structures form and why they retain their shape. The researchers found that velocities at points located along the same vortex arc remain correlated even over long distances. At the same time, this correlation weakens rapidly with increasing distance from the vortex centre. These differences help explain the formation of spiral arms and may improve models of atmospheric and oceanic currents. The findings have been published in Physical Review Fluids.
August 17, 2026
‘I Dream of Simple Things
Anastasia Gergenreter specialises in applied statistics and econometrics. In this interview for the Young Scientists of HSE University project, she talked about why she studies addictive substance use, two very different Fishers, and the cherry blossom season at the Main Botanical Garden in Moscow.

 

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О последовательностях Сомос-4 и Сомос-5.

Математические заметки. 2021. Т. 110. № 3. С. 478–480.
Ustinov A.
Language: Russian
DOI
Keywords: последовательности Сомосанелинейные рекуррентные уравнения
Similar publications
Сомос-4 и эллиптические системы последовательностей
Быковский В. А., Ustinov A., Доклады Академии наук 2016 Т. 471 № 1 С. 7–10
A general formula for elements of dual Somos-4 sequences is obtained. A sufficient condition for the integerness of such sequences is proposed. ...
Added: October 12, 2025
Тропические последовательности, ассоциированные с последовательностями Сомоса
Быковский В. А., Романов М. А., Ustinov A., Чебышевский сборник 2021 Т. 22 № 1 С. 118–132
Since the seminal note published by M. Somos in 1989, a great deal of attention of specialists in number theory and adjacent areas are attracted by nonlinear sequences that satisfy a quadratic recurrence relation. At the same time, special attention is paid to the construction of Somos integer sequences and their Laurent property with respect to ...
Added: October 12, 2025
On Periodicity of the Somos Sequences Modulo m.
A. V. Ustinov, Mathematical Notes, USA 2024 Vol. 115 No. 3 P. 405–413
We prove the periodicity of finite rank Somos sequences modulo m. As an application, we prove the periodicity of the Somos-(6) (mod m) sequence. ...
Added: July 6, 2024
О периодичности последовательностей Сомоса по модулю m
Ustinov A., Математические заметки 2024 Т. 115 № 3 С. 439–449
We prove the periodicity of finite rank Somos sequences modulo m. As an application, we prove the periodicity of the Somos-(6) (mod m) sequence. ...
Added: April 16, 2024
Последовательности Сомоса (окончание)
Ustinov A., Квант 2023 № 9 С. 11–19
The article is devoted to Somos sequences and their properties. ...
Added: March 24, 2024
Последовательности Сомоса
Ustinov A., Квант 2023 № 8 С. 8–14
The article is devoted to Somos sequences and their properties. ...
Added: March 24, 2024
Элементарный подход к изучению последовательностей Сомоса
Ustinov A., Труды Математического института им. В.А. Стеклова РАН 2019 Т. 305 С. 330–343
Предлагается элементарный подход (не использующий теорию эллиптических функций) к доказательству основных свойств последовательности Сомос-4. ...
Added: November 25, 2021
О лорановости последовательностей Сомос-4 и Сомос-5
Ustinov A., Быковский В. А., Функциональный анализ и его приложения 2019 Т. 53 № 3 С. 79–83
В работе уточняется результат Зелевинского и Фомина (2002) о лорановости последовательностей Сомос-4 и Сомос-5 ...
Added: November 25, 2021
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