On the Distribution of the Euler Function of Shifted Smooth Numbers
Number Theory
2008-10-08 v1
Abstract
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.
Cite
@article{arxiv.0810.1093,
title = {On the Distribution of the Euler Function of Shifted Smooth Numbers},
author = {Stefanie S. Loiperdinger and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:0810.1093},
year = {2008}
}