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 -