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3 results on '"05A17, 11N37, 11P81"'

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

Author

Tóth, László

Subjects
Mathematics - Number Theory, Mathematics - Combinatorics, 05A17, 11N37, 11P81
Abstract

We generalize the asymptotic estimates by Bubboloni, Luca and Spiga (2012) 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., Comment: revised

Published
2020
Full Text
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2. On the number of $$k$$-compositions $$n$$ satisfying certain coprimality conditions

Author

László Tóth

Subjects
Partition function (quantum field theory), Mathematics - Number Theory, Coprime integers, General Mathematics, 010102 general mathematics, Multiplicative function, 05A17, 11N37, 11P81, 010103 numerical & computational mathematics, Term (logic), 01 natural sciences, Combinatorics, Mathematics - Combinatorics, Arithmetic function, Pairwise comparison, Asymptotic formula, 0101 mathematics, Mathematics
Abstract

We generalize the asymptotic estimates by Bubboloni, Luca and Spiga (2012) 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., Comment: revised

Published
2021

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

Author

T��th, L��szl��

Subjects
FOS: Mathematics, 05A17, 11N37, 11P81, Number Theory (math.NT), Combinatorics (math.CO)
Abstract

We generalize the asymptotic estimates by Bubboloni, Luca and Spiga (2012) 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., revised

Published
2020
Full Text
View/download PDF

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