On the Distribution of the Euler Function of Shifted Smooth Numbers

Details On the Distribution of the Euler Function of Shifted Smooth Numbers On the Distribution of the Euler Function of Shifted Smooth Numbers

2008-10-07

arxiv.org/abs/0810.1093v1

Mathematics

Number Theory

Scientific paper

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 \'E. Fouvry & G. Tenenbaum.

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