On the distribution of the Euler function of
 shifted smooth numbers

Stefanie S. Loiperdinger; Igor E. Shparlinski

doi:10.4064/cm120-1-10

Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

On the distribution of the Euler function of shifted smooth numbers

Tom 120 / 2010

Stefanie S. Loiperdinger, Igor E. Shparlinski Colloquium Mathematicum 120 (2010), 139-148 MSC: 11N25, 11N37. DOI: 10.4064/cm120-1-10

Streszczenie

We give asymptotic formulas for some average values of the Euler function on shifted smooth numbers. The result is based on various estimates on the distribution of smooth numbers in arithmetic progressions which are due to A. Granville and É. Fouvry & G. Tenenbaum.

Autorzy

Stefanie S. LoiperdingerDepartment of Computing
Macquarie University
Sydney, NSW, 2109, Australia
e-mail
Igor E. ShparlinskiDepartment of Computing
Macquarie University
Sydney, NSW, 2109, Australia
e-mail

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