Menon-type identities concerning Dirichlet characters-Reference-Cited by-同舟云学术

Menon-type identities concerning Dirichlet characters

Published:2018-05 Issue:04 Volume:14 Page:1047-1054
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Tóth László¹

Affiliation:

1. Department of Mathematics, University of Pécs, Ifjúság útja 6, H-7624 Pécs, Hungary

Abstract

Let [Formula: see text] be a Dirichlet character (mod [Formula: see text]) with conductor [Formula: see text]. In a quite recent paper Zhao and Cao deduced the identity [Formula: see text], which reduces to Menon’s identity if [Formula: see text] is the principal character (mod [Formula: see text]). We generalize the above identity by considering even functions (mod [Formula: see text]), and offer an alternative approach to prove. We also obtain certain related formulas concerning Ramanujan sums.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179304211850063X

Reference13 articles.

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2. A Menon-type identity with many tuples of group of units in residually finite Dedekind domains

3. Menon-type identities derived from actions of subgroups of general linear groups

4. Introduction to Arithmetical Functions

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1. On Ramanujan expansions and primes in arithmetic progressions;Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg;2024-08-23

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

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

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