On the Cycle Structure of Repeated Exponentiation Modulo a Prime Power

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.

Accepted by The Fibonacci Quarterly.(SCI)

Cited by in corpus (1)

• Periodic points and tail lengths of split polynomial maps modulo primes