Another generalization of Menon's identity

Xiao Peng Zhao; Zhen Fu Cao

doi:10.1142/S1793042117501299

Another generalization of Menon's identity

Xiao Peng Zhao, Zhen Fu Cao^*

^*Corresponding author for this work

Software Engineering Institute

East China Normal University

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

Let φ be the Euler's totient function and T(n) be the number of divisors of n. Menon's beautiful identity states that [EQUATION PRESENTED]. Here we extend this identity to Dirichlet characters mod n.

Original language	English
Pages (from-to)	2373-2379
Number of pages	7
Journal	International Journal of Number Theory
Volume	13
Issue number	9
DOIs	https://doi.org/10.1142/S1793042117501299
State	Published - 1 Oct 2017

Keywords

Dirichlet character
Menon's identity
great common divisor
sum

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title = "Another generalization of Menon's identity",

abstract = "Let φ be the Euler's totient function and T(n) be the number of divisors of n. Menon's beautiful identity states that [EQUATION PRESENTED]. Here we extend this identity to Dirichlet characters mod n.",

keywords = "Dirichlet character, Menon's identity, great common divisor, sum",

author = "Zhao, \{Xiao Peng\} and Cao, \{Zhen Fu\}",

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AU - Cao, Zhen Fu

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AB - Let φ be the Euler's totient function and T(n) be the number of divisors of n. Menon's beautiful identity states that [EQUATION PRESENTED]. Here we extend this identity to Dirichlet characters mod n.

KW - Dirichlet character

KW - Menon's identity

KW - great common divisor

KW - sum

UR - https://www.scopus.com/pages/publications/85020304831

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DO - 10.1142/S1793042117501299

M3 - 文章

AN - SCOPUS:85020304831

SN - 1793-0421

VL - 13

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JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 9

ER -

Another generalization of Menon's identity

Abstract

Keywords

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