On a Problem of Arnold on Uniform Distribution

Abstract

In this note we consider some quantitative versions of conjectures made by Arnold related to Galois dynamics in finite fields. We refine some results by Shparlinski using exponential sum results. The present note is a refinement of work of I. Shparlinski [S] on the ergodic properties of certain dynamical systems associated to multiplication in finite fields… (More)

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Cite this paper

@inproceedings{Chang2006OnAP, title={On a Problem of Arnold on Uniform Distribution}, author={Mei-Chu Chang}, year={2006} }