Another generalization of the gcd-sum function

DOI10.1007/s40065-013-0077-yzbMath1336.11006arXiv1306.1020OpenAlexW2163490356WikidataQ59299056 ScholiaQ59299056MaRDI QIDQ361572

László Tóth

Publication date: 29 August 2013

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1020

zbMATH Keywords

asymptoticsIgusa zeta functionPiltz divisor functionfinite cyclic groupDirichlet convolutiongcd sum functionMenon's identity

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (5)

Cesàro's formula in number fields ⋮ Proofs, generalizations and analogs of Menon's identity: a survey ⋮ Menon-type identities concerning additive characters ⋮ Menon-type identities concerning Dirichlet characters ⋮ Almost-prime times in horospherical flows on the space of lattices

Cites Work

• A generalization of Menon's identity
• Asymptotic results for a class of arithmetical functions
• A multivariable Euler product of Igusa type and its applications
• On the random variable \(\{1,2,\dots ,n\}r\ni (k_1,k_2,\dots ,k_r)\mapsto\mathrm{gcd}(n,k_1k_2\cdots k_r)\in\mathbb N\)
• Menon's identity and arithmetical sums representing functions of several variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Another generalization of the gcd-sum function