A generalization of Menon's identity

DOI10.1016/j.jnt.2012.05.012zbMath1276.11010arXiv1109.2198OpenAlexW2031189081MaRDI QIDQ452388

Marius Tărnăuceanu

Publication date: 21 September 2012

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

Full work available at URL: https://arxiv.org/abs/1109.2198

zbMATH Keywords

group actionMenon's identityBurnside's lemma

Mathematics Subject Classification ID

Abstract finite groups (20D99) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (18)

A Menon-type identity in residually finite Dedekind domains ⋮ Menon-type identities derived from actions of subgroups of general linear groups ⋮ A generalization of Arai-Carlitz's identity ⋮ Menon's identity in residually finite Dedekind domains ⋮ Another generalization of the gcd-sum function ⋮ A Menon-type identity with multiplicative and additive characters ⋮ Proofs, generalizations and analogs of Menon's identity: a survey ⋮ On a question of Sury ⋮ Another generalization of Menon’s identity in the ring of algebraic integers ⋮ A NEW MENON’S IDENTITY FROM GROUP ACTIONS ⋮ Menon-type identities concerning Dirichlet characters ⋮ IDEAL CHAINS IN RESIDUALLY FINITE DEDEKIND DOMAINS ⋮ A Menon-type identity with many tuples of group of units in residually finite Dedekind domains ⋮ Menon-type identities with additive characters ⋮ A generalization of Menon’s identity with Dirichlet characters ⋮ Menon-type identities with respect to sets of units ⋮ THE NUMBER OF CYCLIC SUBGROUPS OF FINITE ABELIAN GROUPS AND MENON’S IDENTITY ⋮ A Menon-type identity with Dirichlet characters in residually finite Dedekind domains

Cites Work

• Menon's identity with respect to a generalized divisibility relation
• Some number-theoretic identities from group actions.
• Introduction to arithmetical functions
• On certain trigonometric sums in several variables
• Menon's identity and arithmetical sums representing functions of several variables
• Multiplicative even functions (mod r). I Structural properties.
• Arithmetical sums in regular convolutions.
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