On an analogue of Gelfond's problem for Ostrowsky expansion
- Authors: Zhukova A.A.1, Shutov A.V.2
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Affiliations:
- Russian Academy of National Economy and Public Administration under the President of the Russian Federation (Vladimir Branch)
- Vladimir State University
- Issue: Vol 89, No 2 (2025)
- Pages: 25-44
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/303945
- DOI: https://doi.org/10.4213/im9633
- ID: 303945
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Abstract
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 $\alpha$.
About the authors
Alla Adol'fovna Zhukova
Russian Academy of National Economy and Public Administration under the President of the Russian Federation (Vladimir Branch)
Author for correspondence.
Email: georg967@mail.ru
Candidate of physico-mathematical sciences, Associate professor
Anton Vladimirovich Shutov
Vladimir State University
Email: a1981@mail.ru
Doctor of physico-mathematical sciences, Associate professor
References
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