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

VL - 135

SP - 2699

EP - 2705

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 9

ER -