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Элементарный подход к изучению последовательностей Сомоса

Труды Математического института им. В.А. Стеклова РАН. 2019. Т. 305. С. 330–343.
Ustinov A.
Language: Russian
DOI
Keywords: последовательности Сомоса
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Сомос-4 и эллиптические системы последовательностей
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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 ...
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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
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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. ...
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The article is devoted to Somos sequences and their properties. ...
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Последовательности Сомоса
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The article is devoted to Somos sequences and their properties. ...
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О последовательностях Сомос-4 и Сомос-5.
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О последовательностях Сомос-4 и Сомос-5 ...
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О лорановости последовательностей Сомос-4 и Сомос-5
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Added: November 25, 2021
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