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math.NT2020
Coprime partitions and Jordan totient functions
Daniela Bubboloni, Florian Luca
We show that while the number of coprime compositions of a positive integer into parts can be expressed as a -linear combinations of the Jordan totient function…
math.NT2012
Compositions of n Satisfying Some Coprimality Conditions
Daniela Bubboloni, Florian Luca, Pablo Spiga
A k-composition of n is a sequence of length k of positive integers summing up to n. In this paper, we investigate the number of k-compositions of n satisfying two natural coprimal…