On the number of k-compositions n satisfying certain coprimality conditions

On the number of k-compositions n satisfying certain coprimality conditions

We generalize the asymptotic estimates by Bubboloni, Luca and Spiga [2] on the number of k -compositions of n satisfying some coprimality conditions. We substantially refine the error term concerning the number of k -compositions of n with pairwise relatively prime summands. We use a different appro...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica Hungarica 2021-06, Vol.164 (1), p.135-156
1. Verfasser: Tóth, L.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Composition
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Partitions (mathematics)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We generalize the asymptotic estimates by Bubboloni, Luca and Spiga [2] on the number of k -compositions of n satisfying some coprimality conditions. We substantially refine the error term concerning the number of k -compositions of n with pairwise relatively prime summands. We use a different approach, based on properties of multiplicative arithmetic functions of k variables and on an asymptotic formula for the restricted partition function.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-021-01147-5