Open AccessOn certain character sums over smooth numbers
Author(s) -
Ке Гонг
Publication year - 2009
Publication title -
glasnik matematički
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.332
H-Index - 17
eISSN - 1846-7989
pISSN - 0017-095X
DOI - 10.3336/gm.44.2.06
Subject(s) - mathematics , character (mathematics) , combinatorics , arithmetic , pure mathematics , geometry
We give nontrivial bounds in various ranges for character sums of the form ∑n S(x,y) χ(R1(n))eq(R2(n)), where χ is a nonprincipal multiplicative character modulo a prime q, R1 and R2 are rational functions modulo q, and S(x,y) is the set of positive integers n ≤ x that are divisible only by primes p ≤ y. We also give sharper bounds in some special cases