Menon-type identities concerning additive characters

DOI10.1007/s40065-019-0259-3zbMath1454.11013arXiv1808.09303OpenAlexW3104303229WikidataQ127810446 ScholiaQ127810446MaRDI QIDQ2211916

László Tóth

Publication date: 17 November 2020

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09303

zbMATH Keywords

additive characterRamanujan sumMenon's identityeven functionarithmetical sumarithmetical convolution

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) Trigonometric and exponential sums (general theory) (11L03)

Related Items (1)

Proofs, generalizations and analogs of Menon's identity: a survey

Cites Work

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• Another generalization of the gcd-sum function
• Representations of even functions \(\pmod r\). II: Cauchy products
• Introduction to arithmetical functions
• Menon-type identities with additive characters
• Short proof and generalization of a menon-type identity by Li, Hu and Kim
• The discrete Fourier transform of $r$-even functions
• Menon's identity and arithmetical sums representing functions of several variables
• Another generalization of Menon’s identity
• Menon-type identities concerning Dirichlet characters

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