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

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

Menon’s identity states that for every positive integer n one has ∑ (a − 1, n) = φ (n)τ(n), where a runs through a reduced residue system (mod n), (a − 1, n) stands for the greatest common divisor of a − 1 and n, φ(n) is Euler’s totient function, and τ(n) is the number of divisors of n. Menon’s iden...

Full description

Bibliographic Details
Main Author: Tóth László
Format: Article
Language:English
Published: Sciendo 2023-11-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
menon’s identity
arithmetic function
euler’s function
ramanujan’s sum
dirichlet character
dirichlet convolution
unitary convolution
group action
orbit counting lemma
n-even function
finite fourier representation
11a07
11a25
22f05
Online Access:https://doi.org/10.2478/ausm-2023-0009

Internet

https://doi.org/10.2478/ausm-2023-0009

Similar Items