On the Cycle Structure of Repeated Exponentiation Modulo a Prime Power
Number Theory
2011-08-23 v2
Abstract
We obtain some results about the repeated exponentiation modulo a prime power from the viewpoint of arithmetic dynamical systems. Especially, we extend two asymptotic formulas about periodic points and tails in the case of modulo a prime to the case of modulo a prime power.
Keywords
Cite
@article{arxiv.1101.3482,
title = {On the Cycle Structure of Repeated Exponentiation Modulo a Prime Power},
author = {Min Sha},
journal= {arXiv preprint arXiv:1101.3482},
year = {2011}
}
Comments
Accepted by The Fibonacci Quarterly.(SCI)