Ostafe, Alina; Shparlinski, Igor E (2010). On the length of critical orbits of stable quadratic polynomials. Proceedings of the American Mathematical Society, 138(8):2653-2656.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | August 2010 |
| Deposited On: | 16 Aug 2010 14:40 |
| Last Modified: | 23 Jan 2022 16:58 |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9939 |
| Additional Information: | First published in Proc. Amer. Math. Soc. 138 (2010), no. 8, 2653--2656 , published by the American Mathematical Society |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1090/S0002-9939-10-10404-3 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2644881 |
| Other Identification Number: | arXiv:0909.3972v3 |
Ostafe, Alina