Compositions of n satisfying some coprimality conditions

DOI10.1016/j.jnt.2012.06.012zbMath1251.05011arXiv1202.1670OpenAlexW2963381059MaRDI QIDQ455802

Florian Luca, Daniela Bubboloni, Pablo Spiga

Publication date: 22 October 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1670

zbMATH Keywords

compositionscoprime summandpairwise coprime

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (5)

Coprime partitions and Jordan totient functions ⋮ Normal coverings and pairwise generation of finite alternating and symmetric groups. ⋮ Intersective \(S_n\) polynomials with few irreducible factors ⋮ Linear bounds for the normal covering number of the symmetric and alternating groups ⋮ On the number of \(k\)-compositions \(n\) satisfying certain coprimality conditions

Uses Software

• Magma

Cites Work

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• Normal coverings of finite symmetric and alternating groups.
• The Magma algebra system. I: The user language
• Die Seltenheit der Gleichungen mit Affekt
• Maximal subgroups of symmetric groups
• On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function.
• Normal coverings and pairwise generation of finite alternating and symmetric groups.
• Approximate formulas for some functions of prime numbers
• A Multivariate Arithmetic Function of Combinatorial and Topological Significance
• On the orders of Primitive Permutation Groups
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• Polynomials with roots modulo every integer
• The probability of generating the symmetric group

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