UZH-Logo

Maintenance Infos

On the length of critical orbits of stable quadratic polynomials


Ostafe, A; Shparlinski, I (2010). On the length of critical orbits of stable quadratic polynomials. Proceedings of the American Mathematical Society, 138(8):2653-2656 .

Abstract

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.

Citations

6 citations in Web of Science®
6 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

33 downloads since deposited on 16 Aug 2010
12 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:August 2010
Deposited On:16 Aug 2010 14:40
Last Modified:05 Apr 2016 14:12
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
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
Permanent URL: https://doi.org/10.5167/uzh-35153

Download

[img]
Preview
Filetype: PDF
Size: 126kB
View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations