Canci, Jung Kyu and Vishkautsan, Solomon. (2019) Scarcity of cycles for rational functions over a number field. Transactions of the American Mathematical Society, 371. pp. 335356.
Full text not available from this repository.
Official URL: https://edoc.unibas.ch/59362/
Downloads: Statistics Overview
Abstract
We provide an explicit bound on the number of periodic points of a rational function defined over a number field, where the bound depends only on the number of primes of bad reduction and the degree of the function, and is linear in the degree. More generally, we show that there exists an explicit uniform bound on the number of periodic points for any rational function in a given finitely generated semigroup (under composition) of rational functions of degree at least 2. We show that under stronger assumptions the dependence on the degree of the map in the bounds can be removed.
Faculties and Departments:  05 Faculty of Science 05 Faculty of Science > Departement Mathematik und Informatik 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger) 

UniBasel Contributors:  Canci, Jung Kyu 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  American Mathematical Society 
ISSN:  00029947 
eISSN:  10886850 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Related URLs:  
Identification Number: 

Last Modified:  07 Sep 2020 07:28 
Deposited On:  02 Sep 2020 09:41 
Repository Staff Only: item control page