Exponential Sums with Farey Fractions
Bulletin of the Polish Academy of Sciences. Mathematics (2009)
- Volume: 57, Issue: 2, page 101-107
- ISSN: 0239-7269
Access Full Article
top
Abstract
topHow to cite
topIgor E. Shparlinski. "Exponential Sums with Farey Fractions." Bulletin of the Polish Academy of Sciences. Mathematics 57.2 (2009): 101-107. <http://eudml.org/doc/281171>.
@article{IgorE2009,
abstract = {
For positive integers m and N, we estimate the rational exponential sums with denominator m over the reductions modulo m of elements of the set
ℱ(N) = \{s/r : r,s ∈ ℤ, gcd(r,s) = 1, N ≥ r > s ≥ 1\}
of Farey fractions of order N (only fractions s/r with gcd(r,m) = 1 are considered).
},
author = {Igor E. Shparlinski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Farey fractions; double exponential sums; Erdős-Turán inequality},
language = {eng},
number = {2},
pages = {101-107},
title = {Exponential Sums with Farey Fractions},
url = {http://eudml.org/doc/281171},
volume = {57},
year = {2009},
}
TY - JOUR
AU - Igor E. Shparlinski
TI - Exponential Sums with Farey Fractions
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 2
SP - 101
EP - 107
AB -
For positive integers m and N, we estimate the rational exponential sums with denominator m over the reductions modulo m of elements of the set
ℱ(N) = {s/r : r,s ∈ ℤ, gcd(r,s) = 1, N ≥ r > s ≥ 1}
of Farey fractions of order N (only fractions s/r with gcd(r,m) = 1 are considered).
LA - eng
KW - Farey fractions; double exponential sums; Erdős-Turán inequality
UR - http://eudml.org/doc/281171
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.