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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.
| 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: | 11 Jan 2025 04:42 |
| 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