A Menon-type identity in residually finite Dedekind domains

DOI10.1016/j.jnt.2015.12.018zbMath1378.11014OpenAlexW2289620335MaRDI QIDQ266583

Celino Miguel

Publication date: 13 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.12.018

zbMATH Keywords

group actionDedekind domainCauchy-Frobenius-Burnside lemmaMenon identityresidually finite ring

Mathematics Subject Classification ID

Abstract finite groups (20D99) Arithmetic functions; related numbers; inversion formulas (11A25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (17)

Menon-type identities derived from actions of subgroups of general linear groups ⋮ A generalization of Arai-Carlitz's identity ⋮ A Menon-type identity using Klee's function ⋮ A Menon-type identity with multiplicative and additive characters ⋮ Another generalization of Menon’s identity ⋮ Proofs, generalizations and analogs of Menon's identity: a survey ⋮ Another generalization of Menon’s identity in the ring of algebraic integers ⋮ A NEW MENON’S IDENTITY FROM GROUP ACTIONS ⋮ Another regular Menon-type identity in residually finite Dedekind domains ⋮ 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 ⋮ THE NUMBER OF CYCLIC SUBGROUPS OF FINITE ABELIAN GROUPS AND MENON’S IDENTITY ⋮ On a generalization of Menon-Sury identity to number fields involving a Dirichlet character ⋮ A Menon-type identity with Dirichlet characters in residually finite Dedekind domains

Cites Work

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• A generalization of Menon's identity
• Menon's identity with respect to a generalized divisibility relation
• Some number-theoretic identities from group actions.
• Menon's identity in residually finite Dedekind domains
• Menon's identity and arithmetical sums representing functions of several variables
• On a theorem of Jordan
• Note on residually finite rings
• Residually Finite Rings
• Rings with Finite Norm Property

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