A Menon-type identity with many tuples of group of units in residually finite Dedekind domains

DOI10.1016/J.JNT.2016.11.023zbMath1407.11009OpenAlexW2571184775MaRDI QIDQ512231

Daeyeoul Kim, Yan Li

Publication date: 24 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.11.023

zbMATH Keywords

Dedekind domaindivisor functionresidually finite ringsMenon's identity

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (15)

A generalization of Arai-Carlitz's identity ⋮ A Menon-type identity using Klee's function ⋮ Cesàro's formula in number fields ⋮ A Menon-type identity with multiplicative and additive characters ⋮ 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 ⋮ 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

• A Menon-type identity in residually finite Dedekind domains
• 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
• Arithmetical sums in regular convolutions.
• Square-Reduced Residue Systems (Mod r) and Related Arithmetical Functions
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