Iterating the Sum of Möbius Divisor Function and Euler Totient Function

Daeyeoul Kim, Umit Sarp and Sebahattin Ikikardes
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Daeyeoul Kim: Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University, 567 Baekje-daero, deokjin-gu, Jeonju-si, Jeollabuk-do 54896, Korea
Umit Sarp: Faculty of Arts and Science Department of Mathematics, Balikesir University, 10145 Balikesir, Turkey
Sebahattin Ikikardes: Faculty of Arts and Science Department of Mathematics, Balikesir University, 10145 Balikesir, Turkey

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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