## Arithmetic properties of φ(n)/λ(n) and the structure of the multiplicative group modulo n

Banks, William David, 1964-

Luca, Florian

Shparlinski, Igor E.

##### Abstract

For a positive integer n, we let φ(n) and λ(n) denote the Euler function and the Carmichael function, respectively. We define ξ(n) as the ratio φ(n)/λ(n) and study various arithmetic properties of ξ(n).

##### Part of

Mathematics publications (MU)

##### Citation

Comment. Math. Helv. 81 (2006), no.1, 1-22.