Iterating the sum of möbius divisor function and Euler Totient Function

Daeyeoul Kim; Umit Sarp; Sebahattin Ikikardes

doi:10.3390/math7111083

Iterating the sum of möbius divisor function and Euler Totient Function

Daeyeoul Kim
, Umit Sarp^*
, Sebahattin Ikikardes

^*Corresponding author for this work

Department of Mathematics

Balikesir University

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

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.

Original language	English
Article number	1083
Journal	Mathematics
Volume	7
Issue number	11
DOIs	https://doi.org/10.3390/math7111083
State	Published - 2019.11.1

Keywords

Divisor functions
Euler totient function
Möbius function

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.3390/math7111083

Cite this

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title = "Iterating the sum of m{\"o}bius divisor function and Euler Totient Function",

abstract = "In this paper, according to some numerical computational evidence, we investigate and prove certain identities and properties on the absolute M{\"o}bius divisor functions and Euler totient function when they are iterated. Subsequently, the relationship between the absolute M{\"o}bius divisor function with Fermat primes has been researched and some results have been obtained.",

keywords = "Divisor functions, Euler totient function, M{\"o}bius function",

author = "Daeyeoul Kim and Umit Sarp and Sebahattin Ikikardes",

note = "Publisher Copyright: {\textcopyright} 2019 by the authors.",

year = "2019",

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day = "1",

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language = "English",

volume = "7",

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T1 - Iterating the sum of möbius divisor function and Euler Totient Function

AU - Kim, Daeyeoul

AU - Sarp, Umit

AU - Ikikardes, Sebahattin

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Y1 - 2019/11/1

N2 - 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.

AB - 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.

KW - Divisor functions

KW - Euler totient function

KW - Möbius function

UR - https://www.scopus.com/pages/publications/85075422900

U2 - 10.3390/math7111083

DO - 10.3390/math7111083

M3 - Journal article

AN - SCOPUS:85075422900

SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 11

M1 - 1083

ER -

Iterating the sum of möbius divisor function and Euler Totient Function

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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