Arithmetic properties of $\varphi(n)/\lambda(n)$ and the structure of the multiplicative group modulo $n$

• Autores: William D. Banks, Florian Luca, Igor E. Shparlinski
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 1, 2006, págs. 1-22
• Idioma: inglés
• DOI: 10.4171/cmh/40
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• Resumen

  • For a positive integer $n$, we let $\varphi(n)$ and $\lambda(n)$ denote the Euler function and the Carmichael function, respectively. We define $\xi(n)$ as the ratio $\varphi(n)/\lambda(n)$ and study various arithmetic properties of $\xi(n)$.