Notes on the equation \(d(n)=D(\varphi(n))\) and related inequalities

DOI10.1515/ms-2023-0045OpenAlexW4380792619MaRDI QIDQ6171905

Djamel Bellaouar, Rafael Jakimczuk, Abdelmadjid Boudaoud

Publication date: 18 July 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2023-0045

zbMATH Keywords

divisor functionprime numbersEuler's functionDiophantine equations

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Diophantine equations in many variables (11D72) Primes (11A41)

Cites Work

• There are infinitely many Carmichael numbers
• Some diophantine equations involving arithmetic functions
• The Carmichael Numbers up to 10 15
• Large Sophie Germain primes
• On a sequence formed by iterating a divisor operator
• The divisor function at consecutive integers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Notes on the equation \(d(n)=D(\varphi(n))\) and related inequalities