TY - JOUR
T1 - Multiplicative character sums with twice-differentiable functions
AU - Banks, William D.
AU - Shparlinski, Igor E.
PY - 2009/12
Y1 - 2009/12
N2 - For a nontrivial multiplicative character X modulo p, we bound character sums taken on the integer parts of a real-valued, twice-differentiable function f whose second derivative decays at an appropriate rate. For the special case that f(x) = xη with some positive real number η, our bounds extend recent results of several authors.
AB - For a nontrivial multiplicative character X modulo p, we bound character sums taken on the integer parts of a real-valued, twice-differentiable function f whose second derivative decays at an appropriate rate. For the special case that f(x) = xη with some positive real number η, our bounds extend recent results of several authors.
UR - http://www.scopus.com/inward/record.url?scp=70649115595&partnerID=8YFLogxK
U2 - 10.1093/qmath/han023
DO - 10.1093/qmath/han023
M3 - Article
AN - SCOPUS:70649115595
VL - 60
SP - 401
EP - 411
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
SN - 0033-5606
IS - 4
ER -