Title
Cycle structure of iterating Redei functions.
Abstract
Vasiga and Shallit [11 study tails and cycles in orbits of iterations of quadratic polynomials over prime fields. These results were extended to repeated exponentiation by Chou and Shparlinski [i]. We show, using the quadratic reciprocity law, that it is possible to extend these results to Redei functions over prime fields.
Year
DOI
Venue
2017
10.3934/amc.2017034
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Keywords
Field
DocType
Cycle structure,Redei functions,one-dimensional dynamics
Prime (order theory),Discrete mathematics,Quadratic reciprocity,Polynomial,Quadratic equation,Exponentiation,Mathematics
Journal
Volume
Issue
ISSN
11
SP2
1930-5346
Citations 
PageRank 
References 
2
0.42
7
Authors
3
Name
Order
Citations
PageRank
Claudio Qureshi1104.48
Daniel Panario243863.88
Rodrigo Martins320.42