On an analogue of Gelfond's problem for Ostrowsky expansion
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 $\alpha$.
Authors
- А. А. Жукова
- А. В. Шутов (ORCID: https://orcid.org/0000-0002-8016-4085)
Institutions
- The Russian Presidential Academy of National Economy and Public Administration (RU)
- Vladimir State University (RU)
Publication Details
- Journal
- Izvestiya Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/im9633e
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00