Menon-type identities concerning Dirichlet characters

DOI10.1142/S179304211850063XzbMath1421.11010arXiv1706.03478OpenAlexW2625693374MaRDI QIDQ4639965

László Tóth

Publication date: 15 May 2018

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

Full work available at URL: https://arxiv.org/abs/1706.03478

zbMATH Keywords

congruencearithmetic functionDirichlet characterRamanujan sumMenon's identityEuler's totient functionprimitive charactereven function mo n

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 ⋮ A Menon-type identity with multiplicative and additive characters ⋮ Short proof and generalization of a menon-type identity by Li, Hu and Kim ⋮ Proofs, generalizations and analogs of Menon's identity: a survey ⋮ Menon-type identities concerning additive characters ⋮ Another generalization of Menon’s identity in the ring of algebraic integers ⋮ Another regular Menon-type identity 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 ⋮ A Menon-type identity concerning Dirichlet characters and a generalization of the gcd function ⋮ 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 Menon-type identity in residually finite Dedekind domains
• Another generalization of the gcd-sum function
• A generalization of Menon's identity
• A Menon-type identity with many tuples of group of units in residually finite Dedekind domains
• Menon's identity with respect to a generalized divisibility relation
• Introduction to arithmetical functions
• Menon-type identities derived from actions of subgroups of general linear groups
• The discrete Fourier transform of $r$-even functions
• Menon's identity and arithmetical sums representing functions of several variables
• Arithmetical sums in regular convolutions.
• Another generalization of Menon’s identity

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