On the distribution of the Euler function of shifted smooth numbers
Stefanie S. Loiperdinger ; Igor E. Shparlinski
Colloquium Mathematicae, Tome 120 (2010), p. 139-148 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283899 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-10,
     author = {Stefanie S. Loiperdinger and Igor E. Shparlinski},
     title = {On the distribution of the Euler function of shifted smooth numbers},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {139-148},
     zbl = {1251.11064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-10}
}

Stefanie S. Loiperdinger; Igor E. Shparlinski. On the distribution of the Euler function of shifted smooth numbers. Colloquium Mathematicae, Tome 120 (2010) pp. 139-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-10/