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

William D. Banks; Florian Luca; Igor E. Shparlinski

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

William D. Banks^*, Florian Luca, Igor E. Shparlinski

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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).

Original language	English
Pages (from-to)	1-22
Number of pages	22
Journal	Commentarii Mathematici Helvetici
Volume	81
Issue number	1
Publication status	Published - 2006

Cite this

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title = "Arithmetic properties of φ(n)/λ(n) and the structure of the multiplicative group modulo n",

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).",

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T1 - Arithmetic properties of φ(n)/λ(n) and the structure of the multiplicative group modulo n

AU - Banks, William D.

AU - Luca, Florian

AU - Shparlinski, Igor E.

PY - 2006

Y1 - 2006

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AB - 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).

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M3 - Article

AN - SCOPUS:33745678596

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JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

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

Abstract

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