On the Sum of Digits of Expansions of a Pair of Consecutive Numbers over a Linear Recurrent Sequence

We obtain asymptotic formulas for the number of positive integers such that the sums of digits of the expansions of and over some linear recurrent sequences have a given parity.

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Bibliographic Details
Published inMathematical Notes Vol. 114; no. 3-4; pp. 387 - 396
Main Author Shutov, A. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.10.2023
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Digits
Mathematics
Mathematics and Statistics
Sums
linear recurrent sequence
sum of digits
greedy expansion
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Summary:We obtain asymptotic formulas for the number of positive integers such that the sums of digits of the expansions of and over some linear recurrent sequences have a given parity.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434623090092