Revisited carmichael’s reduced totient function

Samir Brahim Belhaouari; Yassine Hamdi; Abdelouahed Hamdi

doi:10.3390/math9151800

Revisited carmichael’s reduced totient function

Samir Brahim Belhaouari^*, Yassine Hamdi, Abdelouahed Hamdi

^*Corresponding author for this work

CSE Information & Computing Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The modified Totient function of Carmichael λ(.) is revisited, where important properties have been highlighted. Particularly, an iterative scheme is given for calculating the λ(.) function. A comparison between the Euler ϕ and the reduced totient λ(.) functions aiming to quantify the reduction between is given.

Original language	English
Article number	1800
Journal	Mathematics
Volume	9
Issue number	15
DOIs	https://doi.org/10.3390/math9151800
Publication status	Published - Aug 2021

Keywords

Euler theorem
Euler’s totient function
Prime numbers

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10.3390/math9151800

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title = "Revisited carmichael{\textquoteright}s reduced totient function",

abstract = "The modified Totient function of Carmichael λ(.) is revisited, where important properties have been highlighted. Particularly, an iterative scheme is given for calculating the λ(.) function. A comparison between the Euler ϕ and the reduced totient λ(.) functions aiming to quantify the reduction between is given.",

keywords = "Euler theorem, Euler{\textquoteright}s totient function, Prime numbers",

author = "Belhaouari, {Samir Brahim} and Yassine Hamdi and Abdelouahed Hamdi",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = aug,

doi = "10.3390/math9151800",

language = "English",

volume = "9",

journal = "Mathematics",

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AU - Belhaouari, Samir Brahim

AU - Hamdi, Yassine

AU - Hamdi, Abdelouahed

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AB - The modified Totient function of Carmichael λ(.) is revisited, where important properties have been highlighted. Particularly, an iterative scheme is given for calculating the λ(.) function. A comparison between the Euler ϕ and the reduced totient λ(.) functions aiming to quantify the reduction between is given.

KW - Euler theorem

KW - Euler’s totient function

KW - Prime numbers

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DO - 10.3390/math9151800

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SN - 2227-7390

VL - 9

JO - Mathematics

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ER -

Revisited carmichael’s reduced totient function

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Keywords

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