Notes on the Equation d(n) = d(φ(n)) and Related Inequalities-Reference-Cited by-同舟云学术

Notes on the Equation d(n) = d(φ(n)) and Related Inequalities

Published:2023-06-01 Issue:3 Volume:73 Page:613-632
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Bellaouar Djamel¹,Boudaoud Abdelmadjid²,Jakimczuk Rafael³

Affiliation:

1. * University 8 Mai 1945 Guelma, Department of Mathematics , B.P.401 , , Guelma , ALGERIA

2. ** Laboratory of Pure and Applied Mathematics (LMPA), University of M’sila , B.P. 166, Ichbilia , , M’sila , ALGERIA

3. *** División Matemática, Universidad Nacional de Luján , Buenos Aires , ARGENTINA

Abstract

ABSTRACT Let d(n) denotes the number of positive integers dividing the positive integer n, and let φ(n) denotes Euler’s function representing the number of numbers less than and prime to n. In this paper, we present some notes on the equation d(n) = d(φ(n)). Several results on the related inequalities are also obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2023-0045/pdf

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