A generalization of Arai-Carlitz's identity

DOI10.1007/S11139-019-00236-YzbMath1468.11219OpenAlexW3035349258MaRDI QIDQ829846

Chun-Gang Ji, Yu-Jie Wang

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00236-y

zbMATH Keywords

Dirichlet characterring of algebraic integersarithmetical sum

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (5)

Proofs, generalizations and analogs of Menon's identity: a survey ⋮ Another regular Menon-type identity in residually finite Dedekind domains ⋮ Another generalization of Euler's arithmetic function 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

• Unnamed Item
• A Menon-type identity in residually finite Dedekind domains
• A generalization of Menon's identity
• A Menon-type identity with many tuples of group of units in residually finite Dedekind domains
• Some number-theoretic identities from group actions.
• Menon-type identities derived from actions of subgroups of general linear groups
• Menon's identity in residually finite Dedekind domains
• Arithmetical sums in regular convolutions.
• Another generalization of Menon’s identity
• Menon-type identities concerning Dirichlet characters

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