On digit expansions with respect to linear recurrences

Attila Pethö; Robert R.F. Tichy

doi:10.1016/0022-314X(89)90011-5

On digit expansions with respect to linear recurrences

Attila Pethö^*, Robert R.F. Tichy

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

An explicit formula for the mean value of the sum-of-digits function with respect to linear recurring sequences is established. Thus a recent paper of J. Coquet and P. Van Den Bosch on the Fibonacci number system is extended to the general case.

Original language	English
Pages (from-to)	243-256
Number of pages	14
Journal	Journal of Number Theory
Volume	33
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(89)90011-5
Publication status	Published - Oct 1989
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-314X(89)90011-5

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title = "On digit expansions with respect to linear recurrences",

abstract = "An explicit formula for the mean value of the sum-of-digits function with respect to linear recurring sequences is established. Thus a recent paper of J. Coquet and P. Van Den Bosch on the Fibonacci number system is extended to the general case.",

author = "Attila Peth{\"o} and Tichy, {Robert R.F.}",

year = "1989",

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AU - Tichy, Robert R.F.

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On digit expansions with respect to linear recurrences

Abstract

ASJC Scopus subject areas

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