Reference : Behavior of digital sequences through exotic numeration systems
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/205328
Behavior of digital sequences through exotic numeration systems
English
Leroy, Julien mailto [Université de Liège > Département de mathématique > Mathématiques discrètes >]
Rigo, Michel mailto [Université de Liège > Département de mathématique > Mathématiques discrètes >]
Stipulanti, Manon mailto [Université de Liège > Département de mathématique > Mathématiques discrètes >]
3-Mar-2017
Electronic Journal of Combinatorics
24
1
Paper #1.44, 36pp.
Yes
International
1097-1440
1077-8926
Atlanta
GA
[en] Summatory functions ; Asymptotic behavior ; Binomial coefficients ; Pascal triangles ; Exotic numeration systems
[en] Many digital functions studied in the literature, e.g., the summatory function
of the base-k sum-of-digits function, have a behavior showing some periodic fluctuation.
Such functions are usually studied using techniques from analytic number
theory or linear algebra. In this paper we develop a method based on exotic numeration
systems and we apply it on two examples motivated by the study of generalized
Pascal triangles and binomial coefficients of words.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/205328

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