Another generalization of Menon’s identity-Reference-Cited by-同舟云学术

Another generalization of Menon’s identity

Published:2017-09-20 Issue:09 Volume:13 Page:2373-2379
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Zhao Xiao-Peng¹^ORCID,Cao Zhen-Fu¹

Affiliation:

1. Shanghai Key Lab for Trustworthy Computing, East China Normal University, Shanghai 200062, P. R. China

Abstract

Let [Formula: see text] be the Euler’s totient function and [Formula: see text] be the number of divisors of [Formula: see text]. Menon’s beautiful identity states that [Formula: see text] Here we extend this identity to Dirichlet characters mod [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042117501299

Reference13 articles.

1. Modular Functions and Dirichlet Series in Number Theory

2. Menon’s identity with respect to a generalized divisibility relation

Cited by 24 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Menon-type identity derived using Cohen-Ramanujan sum;Indian Journal of Pure and Applied Mathematics;2024-06-28

2. A generalization of T\'oth identity involving a Dirichlet character in $\mathbb{F}_q[T]$;Publicationes Mathematicae Debrecen;2024-01-01

3. A regular Tóth identity and a Menon-type identity in residually finite Dedekind domains;Periodica Mathematica Hungarica;2023-11-24

4. Proofs, generalizations and analogs of Menon’s identity: a survey;Acta Universitatis Sapientiae, Mathematica;2023-11-01

5. On a generalization of Menon–Sury identity to number fields involving a Dirichlet character;The Ramanujan Journal;2022-06-06