On the length of critical orbits of stable quadratic polynomials | Macquarie University ResearchOnline

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Title: On the length of critical orbits of stable quadratic polynomials
Related: Proceedings of the American Mathematical Society, Vol. 138, No. 8 (2010), p.2653-2656
DOI: 10.1090/S0002-9939-10-10404-3
Publisher: American Methematical Society
Date: 2010
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Ostafe, Alina
Author/Creator: Shparlinski, Igor E
Description: 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(q3/4), improving upon the trivial bound q.
Description: 4 page(s)
Subject Keyword: 010100 Pure Mathematics
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

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