Values of the Euler Function in Various Sequences

MOspace/Manakin Repository

Breadcrumbs Navigation

Values of the Euler Function in Various Sequences

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10673

[+] show full item record


Title: Values of the Euler Function in Various Sequences
Author: Banks, William David, 1964-; Ford, Kevin; Luca, Florian; Pappalardi, Francesco; Shparlinski, Igor E.
Keywords: cardinality
Date: 0000
Abstract: Let φ (n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investigate the equation φ (n)r = λ(n)s, where r ≥ s ≥ 1 are fixed positive integers. We also study those positive integers n, not equal to a prime or twice a prime, such that φ (n) = p−1 holds with some prime p, as well as those positive integers n such that the equation φ (n) = f(m) holds with some integer m, where f is a fixed polynomial with integer coefficients and degree deg f > 1.
URI: http://hdl.handle.net/10355/10673

This item appears in the following Collection(s)

  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

[+] show full item record