• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Последовательности Сомоса (окончание)
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
August 25, 2026
Scientists Develop Algorithm for More Reliable Processors in Data Centres
Researchers from HSE MIEM and Samara University have developed the LRF-3D algorithm to automatically bypass idle nodes in three-dimensional networks-on-chip. Thanks to its hierarchical architecture, the algorithm outperforms existing solutions in both speed and path accuracy, improving processor reliability for use in data centres, supercomputers, and AI computing. The source code and test results are publicly available.
August 24, 2026
Researchers Develop Method for Direct Generation of Regulatory DNA
Researchers at HSE University have developed a model for generating promoters and enhancers—DNA sequences that regulate gene activity. The model works directly with DNA nucleotides, without first transforming them into a continuous numerical representation. This solution could be useful for applications in synthetic biology and gene therapy. The study results were presented at the ICLR 2026 Workshop ‘Generative AI in Genomics (Gen^2): Barriers and Frontiers.’
August 21, 2026
Social Integration: At the Crossroads of Knowledge and Values
The International Laboratory for Social Integration Research (ILSIR) at HSE University studies the challenges faced by vulnerable groups and explores ways to help them participate fully in everyday life. To develop effective solutions, the laboratory’s researchers combine cutting-edge methods with practical fieldwork. In this interview with the HSE News Service, Laboratory Head Elena Iarskaia-Smirnova discusses the laboratory’s work.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Последовательности Сомоса (окончание)

Квант. 2023. № 9. С. 11–19.
Ustinov A.

The article is devoted to Somos sequences and their properties.

Language: Russian
DOI
Text on another site
Keywords: последовательности СомосаSomos sequences
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
Ustinov A., Квант 2023 № 8 С. 8–14
The article is devoted to Somos sequences and their properties. ...
Added: March 24, 2024
О последовательностях Сомос-4 и Сомос-5.
Ustinov A., Математические заметки 2021 Т. 110 № 3 С. 478–480
О последовательностях Сомос-4 и Сомос-5 ...
Added: November 25, 2021
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
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit