On the distribution of the Euler function of shifted smooth numbers’, Preprint, 2008, (available from http://arxiv.org/abs/0810.1093
by
Stefanie S. Loiperdinger
,
Igor E. Shparlinski
| Citations: | 1 - 1 self |
BibTeX
@MISC{Loiperdinger_onthe,
author = {Stefanie S. Loiperdinger and Igor E. Shparlinski},
title = {On the distribution of the Euler function of shifted smooth numbers’, Preprint, 2008, (available from http://arxiv.org/abs/0810.1093},
year = {}
}
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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 É. Fouvry & G. Tenenbaum. 1
Citations
| 670 | An Introduction to the Theory of Numbers - Hardy, Wright - 1971 |
| 175 | Introduction to analytic and probabilistic number theory. Translated from the 2nd French ed - Tenenbaum - 1995 |
| 59 | On a problem of Oppenheim concerning “Factorisatio Numerorum - Canfield, Erdős, et al. - 1983 |
| 36 | Integers without large prime factors - Hildebrand, Tenenbaum - 1993 |
| 16 | Smooth numbers: computational number theory and beyond - Granville |
| 8 | Integers, without large prime factors, in arithmetic progressions - Granville - 1993 |
| 7 | Entiers sans grand facteur premier en progressions arithmétiques’, Proc - Fouvry, Tenenbaum - 1991 |
