TY - JOUR
T1 - On the length of critical orbits of stable quadratic polynomials
AU - Ostafe, Alina
AU - Shparlinski, Igor E.
PY - 2010/8
Y1 - 2010/8
N2 - We use the Weil bound of multiplicative character sums, together with some recent results of N. Boston and R. Jones, to show that the critical orbit of quadratic polynomials over a finite field of q elements is of length O(q 3/4), improving upon the trivial bound q.
AB - We use the Weil bound of multiplicative character sums, together with some recent results of N. Boston and R. Jones, to show that the critical orbit of quadratic polynomials over a finite field of q elements is of length O(q 3/4), improving upon the trivial bound q.
UR - http://www.scopus.com/inward/record.url?scp=77952020449&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-10-10404-3
DO - 10.1090/S0002-9939-10-10404-3
M3 - Article
AN - SCOPUS:77952020449
SN - 0002-9939
VL - 138
SP - 2653
EP - 2656
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 8
ER -