On the random variable \(\{1,2,\dots ,n\}r\ni (k_1,k_2,\dots ,k_r)\mapsto\mathrm{gcd}(n,k_1k_2\cdots k_r)\in\mathbb N\)

DOI10.1016/j.jnt.2013.01.012zbMath1286.11007arXiv0907.0916OpenAlexW2323281820MaRDI QIDQ2444999

Norihiko Minami

Publication date: 11 April 2014

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

Full work available at URL: https://arxiv.org/abs/0907.0916

zbMATH Keywords

momentsconvolutionzeta functiongcdrandom variablerepeated combination

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

Another generalization of the gcd-sum function ⋮ On the random variable \(\{1,2,\dots ,n\}r\ni (k_1,k_2,\dots ,k_r)\mapsto\mathrm{gcd}(n,k_1k_2\cdots k_r)\in\mathbb N\)

Cites Work

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• A multivariable Euler product of Igusa type and its applications
• La conjecture de Weil. I
• Absolute zeta functions
• On the random variable \(\{1,2,\dots ,n\}r\ni (k_1,k_2,\dots ,k_r)\mapsto\mathrm{gcd}(n,k_1k_2\cdots k_r)\in\mathbb N\)
• Meromorphic property of the functions \(P^ \lambda\)
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Resolution of Singularities and Division of Distributions

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