Revisited Carmichael’s Reduced Totient Function

Samir Brahim Belhaouari, Yassine Hamdi and Abdelouahed Hamdi
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Samir Brahim Belhaouari: College of Science and Engineering, Hamad Bin Khalifa University Education City, Doha 24404, Qatar
Yassine Hamdi: Applied Mathematics Engineering, Ecole Polytechnique of Paris, 91128 Palaiseau, France
Abdelouahed Hamdi: Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha 2713, Qatar

Mathematics, 2021, vol. 9, issue 15, 1-12

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

Keywords: Euler theorem; Euler’s totient function; prime numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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