Menon-type identities with additive characters

DOI10.1016/j.jnt.2018.04.023zbMath1442.11008OpenAlexW2805736225MaRDI QIDQ1786706

Daeyeoul Kim, Yan Li

Publication date: 24 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.04.023

zbMATH Keywords

greatest common divisorcongruenceadditive characterRamanujan sumMenon's identityEuler's totient functionarithmetical sum

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (5)

Proofs, generalizations and analogs of Menon's identity: a survey ⋮ Menon-type identities concerning additive characters ⋮ Another regular Menon-type identity in residually finite Dedekind domains ⋮ A generalization of Menon’s identity with Dirichlet characters ⋮ Menon-type identities with respect to sets of units

Cites Work

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• Menon's identity in residually finite Dedekind domains
• On the Fourier transform of the greatest common divisor
• 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
• Menon-type identities concerning Dirichlet characters

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