Article (Scientific journals)
Behavior of digital sequences through exotic numeration systems
Leroy, Julien; Rigo, Michel; Stipulanti, Manon
2017In Electronic Journal of Combinatorics, 24 (1), p. 1.44, 36
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Keywords :
Summatory functions; Asymptotic behavior; Binomial coefficients; Pascal triangles; Exotic numeration systems
Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
Leroy, Julien ;  Université de Liège > Département de mathématique > Mathématiques discrètes
Rigo, Michel  ;  Université de Liège > Département de mathématique > Mathématiques discrètes
Stipulanti, Manon  ;  Université de Liège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
Behavior of digital sequences through exotic numeration systems
Publication date :
03 March 2017
Journal title :
Electronic Journal of Combinatorics
ISSN :
1097-1440
eISSN :
1077-8926
Publisher :
Electronic Journal of Combinatorics, United States - Georgia
Volume :
24
Issue :
1
Pages :
Paper #1.44, 36pp.
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 16 January 2017

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