On the Cycle Structure of Repeated Exponentiation Modulo a Prime Power
classification
🧮 math.NT
keywords
moduloprimepowercaseexponentiationrepeatedarithmeticasymptotic
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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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