A GENERALIZATION OF MENON-RAO-SURY’S IDENTITIES TO ADDITIVE CHARACTERS BY TOTH’S METHOD

Yan Li; Ran Chen; Daeyeoul Kim

doi:10.18514/MMN.2021.3428

A GENERALIZATION OF MENON-RAO-SURY’S IDENTITIES TO ADDITIVE CHARACTERS BY TOTH’S METHOD

Yan Li
, Ran Chen
, Daeyeoul Kim^*

^*Corresponding author for this work

Department of Mathematics

China Agricultural University
State Key Laboratory of Cryptology

Research output: Contribution to journal › Journal article › peer-review

1 Scopus citations

Abstract

In this paper, we obtain a new Menon-type identity: (Formula Presented) where (Formula Presented) is an additive character of (Formula Presented) is a fixed vector such that gcd (Formula Presented) is the Jordan’s totient function and (Formula Presented) is the rth divisor function. This extends Rao’s identity ([9]) and Sury’s identity ([11]) to additive characters.

Original language	English
Pages (from-to)	763-768
Number of pages	6
Journal	Miskolc Mathematical Notes
Volume	22
Issue number	2
DOIs	https://doi.org/10.18514/MMN.2021.3428
State	Published - 2021

Keywords

Additive character
Arithmetic function
Dirichlet convolution
Divisor function
Jordan’s totient function
Menon’s identity

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.18514/MMN.2021.3428

Cite this

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title = "A GENERALIZATION OF MENON-RAO-SURY{\textquoteright}S IDENTITIES TO ADDITIVE CHARACTERS BY TOTH{\textquoteright}S METHOD",

abstract = "In this paper, we obtain a new Menon-type identity: (Formula Presented) where (Formula Presented) is an additive character of (Formula Presented) is a fixed vector such that gcd (Formula Presented) is the Jordan{\textquoteright}s totient function and (Formula Presented) is the rth divisor function. This extends Rao{\textquoteright}s identity ([9]) and Sury{\textquoteright}s identity ([11]) to additive characters.",

keywords = "Additive character, Arithmetic function, Dirichlet convolution, Divisor function, Jordan{\textquoteright}s totient function, Menon{\textquoteright}s identity",

author = "Yan Li and Ran Chen and Daeyeoul Kim",

note = "Publisher Copyright: {\textcopyright} 2021. Miskolc University Press",

year = "2021",

doi = "10.18514/MMN.2021.3428",

language = "English",

volume = "22",

pages = "763--768",

journal = "Miskolc Mathematical Notes",

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AU - Li, Yan

AU - Chen, Ran

AU - Kim, Daeyeoul

PY - 2021

Y1 - 2021

N2 - In this paper, we obtain a new Menon-type identity: (Formula Presented) where (Formula Presented) is an additive character of (Formula Presented) is a fixed vector such that gcd (Formula Presented) is the Jordan’s totient function and (Formula Presented) is the rth divisor function. This extends Rao’s identity ([9]) and Sury’s identity ([11]) to additive characters.

AB - In this paper, we obtain a new Menon-type identity: (Formula Presented) where (Formula Presented) is an additive character of (Formula Presented) is a fixed vector such that gcd (Formula Presented) is the Jordan’s totient function and (Formula Presented) is the rth divisor function. This extends Rao’s identity ([9]) and Sury’s identity ([11]) to additive characters.

KW - Additive character

KW - Arithmetic function

KW - Dirichlet convolution

KW - Divisor function

KW - Jordan’s totient function

KW - Menon’s identity

UR - https://www.scopus.com/pages/publications/85122604991

U2 - 10.18514/MMN.2021.3428

DO - 10.18514/MMN.2021.3428

M3 - Journal article

AN - SCOPUS:85122604991

SN - 1787-2405

VL - 22

SP - 763

EP - 768

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 2

ER -

A GENERALIZATION OF MENON-RAO-SURY’S IDENTITIES TO ADDITIVE CHARACTERS BY TOTH’S METHOD

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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