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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
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.
Received: 02.06.2022 Revised: 02.12.2022
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
Linking options:
https://www.mathnet.ru/eng/mzm13609https://doi.org/10.4213/mzm13609 https://www.mathnet.ru/eng/mzm/v114/i3/p447
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Abstract page: | 188 | Full-text PDF : | 32 | Russian version HTML: | 125 | References: | 40 | First page: | 7 |
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