Proofs, generalizations and analogs of Menon's identity: a survey
DOI10.2478/ausm-2023-0009arXiv2110.07271OpenAlexW4286904094MaRDI QIDQ6187595
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Publication date: 31 January 2024
Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.07271
group actionarithmetic functionEuler's functionDirichlet characterDirichlet convolutionMenon's identityRamanujan's sumunitary convolution\(n\)-even functionfinite Fourier representationorbit counting lemma
Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) General theory of group and pseudogroup actions (22F05)
Cites Work
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- A Menon-type identity in residually finite Dedekind domains
- Restricted linear congruences
- 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
- Representations of even functions \(\pmod r\). I: Arithmetical identities
- Arithmetical functions associated with the unitary divisors of an integer
- Representations of even functions \(\pmod r\). II: Cauchy products
- Menon's identity with respect to a generalized divisibility relation
- A generalization of Arai-Carlitz's identity
- Some number-theoretic identities from group actions.
- Introduction to arithmetical functions
- Cauchy multiplication and periodic functions \((\text{mod }r)\)
- Burnside's lemma: A historical note
- Menon-type identities with additive characters
- On certain trigonometric sums in several variables
- Menon-type identities with respect to sets of units
- A Menon-type identity concerning Dirichlet characters and a generalization of the gcd function
- 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
- Menon-type identities concerning additive characters
- Another regular Menon-type identity in residually finite Dedekind domains
- Menon-type identities derived from actions of subgroups of general linear groups
- On a gcd-sum function
- A Menon-type identity with multiplicative and additive characters
- Short proof and generalization of a menon-type identity by Li, Hu and Kim
- Menon's identity in residually finite Dedekind domains
- Coprime solutions to ax≡b (mod n)
- The discrete Fourier transform of $r$-even functions
- Menon's identity and arithmetical sums representing functions of several variables
- A CLASS OF ARITHMETICAL FUNCTIONS
- Arithmetical functions associated with arbitrary sets of integers
- Regular integers modulo n
- An Obvious Proof of Burnside's Lemma
- Multiplicative even functions (mod r). I Structural properties.
- Arithmetical sums in regular convolutions.
- Square-Reduced Residue Systems (Mod r) and Related Arithmetical Functions
- Another generalization of Menon’s identity
- Menon-type identities concerning Dirichlet characters
- IDEAL CHAINS IN RESIDUALLY FINITE DEDEKIND DOMAINS
- On the Number of Certain Relatively Prime Subsets of {1, 2, . . . , n}
- A generalization of Menon’s identity with Dirichlet characters
- Menon-type identities again: A note on a paper by Li, Kim and Qiao
- A generalization of Menon-Rao-Sury's identities to additive characters by Tóth's method
- A Menon-type identity using Klee's function
- Menon-Type Identities Concerning Subsets of the Set {1, 2,..., n}
- Another generalization of Menon’s identity in the ring of algebraic integers
- A survey of the alternating sum-of-divisors function
- THE NUMBER OF CYCLIC SUBGROUPS OF FINITE ABELIAN GROUPS AND MENON’S IDENTITY
- A generalization of Menon's identity to higher exponent
- Multiplicative Arithmetic Functions of Several Variables: A Survey
- Some remarks on regular integers modulo n
- A regular Menon-type identity in residually finite Dedekind domains
- A NEW MENON’S IDENTITY FROM GROUP ACTIONS
- On a class of arithmetical convolutions
- A Generalization of Euler's φ-Function
- A Menon--Sury-type identity for arithmetic functions on $\mathbb{F}_{q}[T$]
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