On an analogue of Gelfond's problem for Ostrowsky expansion
- Авторлар: Zhukova A.A.1, Shutov A.V.2
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Мекемелер:
- Russian Academy of National Economy and Public Administration under the President of the Russian Federation (Vladimir Branch)
- Vladimir State University
- Шығарылым: Том 89, № 2 (2025)
- Беттер: 25-44
- Бөлім: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/303945
- DOI: https://doi.org/10.4213/im9633
- ID: 303945
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
The paper considers an analogue of A. O. Gelfond's problem on the distribution of sums of digits of $b$-ary expansions of natural numbers in arithmetic progressions. Instead of $b$-ary expansions,we consider expansions in the Ostrowsky numeration system associated with arbitrary irrational $\alpha$.
Негізгі сөздер
Авторлар туралы
Alla Zhukova
Russian Academy of National Economy and Public Administration under the President of the Russian Federation (Vladimir Branch)
Хат алмасуға жауапты Автор.
Email: georg967@mail.ru
Candidate of physico-mathematical sciences, Associate professor
Anton Shutov
Vladimir State University
Email: a1981@mail.ru
Doctor of physico-mathematical sciences, Associate professor
Әдебиет тізімі
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- А. А. Жукова, А. В. Шутов, “Об аналоге задачи Гельфонда для обобщенных разложений Цеккендорфа”, Чебышевский сб., 22:2 (2021), 104–120
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