On the Cycle Structure of Repeated Exponentiation Modulo a Prime Power

Details On the Cycle Structure of Repeated Exponentiation Modulo a Prime Power On the Cycle Structure of Repeated Exponentiation Modulo a Prime Power

2011-01-18

arxiv.org/abs/1101.3482v2

Mathematics

Number Theory

Accepted by The Fibonacci Quarterly.(SCI)

Scientific paper

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.

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