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arXiv · 2009.01089

On the Dynamical System Generated by the M\"obius transformation at Prime Times

László Mérai·Igor E. Shparlinski
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Abstract

We study the distribution of the sequence of elements of the discrete dynamical system generated by iterations of the M\"obius map $x \mapsto (ax + b)/(cx+d)$ 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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László Mérai, Igor E. Shparlinski. 2020-09-02. On the Dynamical System Generated by the M\"obius transformation at Prime Times. https://arxiv.org/abs/2009.01089

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