TY - JOUR
T1 - Character sums over shifted smooth numbers
AU - Shparlinski, Igor E.
N1 - Copyright 2007 American Mathematical Society. First published in Proceedings of the American Mathematical Society, Volume 135, Issue 9, pp. 2699-2705, published by the American Mathematical Society. The original article can be found at http://dx.doi.org/10.1090/S0002-9939-07-08785-0.
PY - 2007/9
Y1 - 2007/9
N2 - We give nontrivial bounds in various ranges for character sums of the form Σc∈S(x,y) χ(n+a), gcd(a,p) = 1, where χ is a nontrivial multiplicative character modulo a prime p and S(x,y) is the set of positive integers n ≤ x that are divisible only by primes q ≤ y.
AB - We give nontrivial bounds in various ranges for character sums of the form Σc∈S(x,y) χ(n+a), gcd(a,p) = 1, where χ is a nontrivial multiplicative character modulo a prime p and S(x,y) is the set of positive integers n ≤ x that are divisible only by primes q ≤ y.
UR - http://www.scopus.com/inward/record.url?scp=74549183380&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-07-08785-0
DO - 10.1090/S0002-9939-07-08785-0
M3 - Article
AN - SCOPUS:74549183380
SN - 0002-9939
VL - 135
SP - 2699
EP - 2705
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 9
ER -