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  • Author or Editor: Rie Natsui x
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Summary Let F q be a finite field with q elements. We consider formal Laurent series of F q -coefficients with their continued fraction expansions by F q -polynomials. We prove some arithmetic properties for almost every formal Laurent series with respect to the Haar measure. We construct a group extension of the non-archimedean continued fraction transformation and show its ergodicity. Then we get some results as an application of the individual ergodic theorem. We also discuss the convergence rate for limit behaviors.

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