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Matematicheskie Zametki, 2023, Volume 114, Issue 3, Pages 447–457
DOI: https://doi.org/10.4213/mzm13609 (Mi mzm13609) 		 
On the Sum of Digits of Expansions of a Pair of Consecutive Numbers over a Linear Recurrent Sequence

A. V. Shutov

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm13609
Abstract: We obtain asymptotic formulas for the number of positive integers n⩽X such that the sums of digits of the expansions of n and n+1 over some linear recurrent sequences have a given parity.
Keywords: linear recurrent sequence, greedy expansion, sum of digits.
Funding agency Grant number
Russian Science Foundation 19-11-00065
This work was financially supported by the Russian Science Foundation, project 19-11-00065, https://rscf.ru/en/project/19-11-00065/.
Received: 02.06.2022
Revised: 02.12.2022
English version:
Mathematical Notes, 2023, Volume 114, Issue 3, Pages 387–396
DOI: https://doi.org/10.1134/S0001434623090092
Bibliographic databases:
Document Type: Article
UDC: 511.3
MSC: 11B37 11A63 11K16
Language: Russian
Citation: A. V. Shutov, “On the Sum of Digits of Expansions of a Pair of Consecutive Numbers over a Linear Recurrent Sequence”, Mat. Zametki, 114:3 (2023), 447–457; Math. Notes, 114:3 (2023), 387–396
Citation in format AMSBIB
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\by A.~V.~Shutov
\paper On the Sum of Digits of Expansions of a Pair of Consecutive Numbers over a Linear Recurrent Sequence
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 3
\pages 447--457
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\crossref{https://doi.org/10.4213/mzm13609}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4658789}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 3
\pages 387--396
\crossref{https://doi.org/10.1134/S0001434623090092}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85174696154}
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