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Open AccessFeature PaperArticle

Iterating the Sum of Möbius Divisor Function and Euler Totient Function

Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University, 567 Baekje-daero, deokjin-gu, Jeonju-si, Jeollabuk-do 54896, Korea
Faculty of Arts and Science Department of Mathematics, Balikesir University, 10145 Balikesir, Turkey
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1083;
Received: 15 October 2019 / Revised: 6 November 2019 / Accepted: 6 November 2019 / Published: 9 November 2019
(This article belongs to the Special Issue Polynomials: Theory and Applications)
In this paper, according to some numerical computational evidence, we investigate and prove certain identities and properties on the absolute Möbius divisor functions and Euler totient function when they are iterated. Subsequently, the relationship between the absolute Möbius divisor function with Fermat primes has been researched and some results have been obtained. View Full-Text
Keywords: Möbius function; divisor functions; Euler totient function Möbius function; divisor functions; Euler totient function
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Kim, D.; Sarp, U.; Ikikardes, S. Iterating the Sum of Möbius Divisor Function and Euler Totient Function. Mathematics 2019, 7, 1083.

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