On the Dynamical System Generated by the Möbius transformation at Prime Times

2020/09/02 by Mérai, László, Shparlinski, Igor E. · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2009.01089

Abstract

We study the distribution of the sequence of elements of the discrete dynamical system generated by iterations of the Möbius map x ↦ (ax + b)/(cx+d) over a finite field of p elements at the moments of time that correspond to prime numbers. In particular, we obtain nontrivial estimates of exponential sums with such sequences.

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• On the Dynamical System Generated by the Möbius Transformation at Smooth Times

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