Glasnik matematički, Vol. 44 No. 2, 2009.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.44.2.06
On certain character sums over smooth numbers
Ke Gong
; Department of Mathematics, Tongji University, Shanghai 200092, P. R. China
Sažetak
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.
Ključne riječi
Character sums; rational functions; smooth numbers
Hrčak ID:
44050
URI
Datum izdavanja:
9.12.2009.
Posjeta: 1.025 *