Properties of the Euler phi-function on pairs of positive integers (6x - 1, 6x + 1)

Mbakiso, Fix Mothebe and Sebaameng, Samuel (2016) Properties of the Euler phi-function on pairs of positive integers (6x - 1, 6x + 1). African Journal of Mathematics and Computer Science Research, 9 (2). pp. 12-14. ISSN 2006-9731

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Abstract

Let n ≥ 1 be an integer. Define Ï•2(n) to be the number of positive integers x, 1 ≤ x ≤ n, for which both 6x−1 and 6x+1 are relatively prime to 6n. The primary goal of this study is to show that Ï•2 is a multiplicative function, that is, if gcd(m, n) = 1, then Ï•2(mn) = Ï•2(m)Ï•2(n).

Item Type: Article
Subjects: Middle Asian Archive > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 14 Apr 2023 09:53
Last Modified: 24 May 2024 06:54
URI: http://library.eprintglobalarchived.com/id/eprint/255

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