On the distribution of the Euler function of shifted smooth numbers
Stefanie S. Loiperdinger; Igor E. Shparlinski
Colloquium Mathematicae (2010)
- Volume: 120, Issue: 1, page 139-148
- ISSN: 0010-1354
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topStefanie S. Loiperdinger, and Igor E. Shparlinski. "On the distribution of the Euler function of shifted smooth numbers." Colloquium Mathematicae 120.1 (2010): 139-148. <http://eudml.org/doc/283899>.
@article{StefanieS2010,
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.},
author = {Stefanie S. Loiperdinger, Igor E. Shparlinski},
journal = {Colloquium Mathematicae},
keywords = {Euler's function; smooth numbers},
language = {eng},
number = {1},
pages = {139-148},
title = {On the distribution of the Euler function of shifted smooth numbers},
url = {http://eudml.org/doc/283899},
volume = {120},
year = {2010},
}
TY - JOUR
AU - Stefanie S. Loiperdinger
AU - Igor E. Shparlinski
TI - On the distribution of the Euler function of shifted smooth numbers
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 1
SP - 139
EP - 148
AB - 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.
LA - eng
KW - Euler's function; smooth numbers
UR - http://eudml.org/doc/283899
ER -
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