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Open AccessFeature PaperArticle

Iterating the Sum of Möbius Divisor Function and Euler Totient Function

1
Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University, 567 Baekje-daero, deokjin-gu, Jeonju-si, Jeollabuk-do 54896, Korea
2
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; https://doi.org/10.3390/math7111083 (registering DOI)
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.
Keywords: Möbius function; divisor functions; Euler totient function Möbius function; divisor functions; Euler totient function
MDPI and ACS Style

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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