On the distribution of the Euler function of shifted smooth numbers

• Autorzy: Stefanie S. Loiperdinger , Igor E. Shparlinski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11N25: Distribution of integers with specified multiplicative constraints

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 1
• Strony: 139-148

Daty

wydano

2010

Twórcy

autor

Stefanie S. Loiperdinger

• Department of Computing, Macquarie University, Sydney, NSW, 2109, Australia

autor

Igor E. Shparlinski

• Department of Computing, Macquarie University, Sydney, NSW, 2109, Australia

Identyfikatory

DOI

10.4064/cm120-1-10