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Karyon Expansions of Pisot Numbers in Multidimensional Continued Fractions

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Best simultaneous Diophantine approximations of Pisot numbers are obtained. To this end, the karyon approximation method is used. Approximation of Littlewood–Pisot numbers is investigated in detail.

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Authors and Affiliations

  1. Vladimir State University, Vladimir, Russia

    V. G. Zhuravlev

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  1. V. G. Zhuravlev
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Correspondence to V. G. Zhuravlev.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 449, 2016, pp. 168–195.

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Zhuravlev, V.G. Karyon Expansions of Pisot Numbers in Multidimensional Continued Fractions. J Math Sci 225, 950–968 (2017). https://doi.org/10.1007/s10958-017-3507-0

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  • DOI: https://doi.org/10.1007/s10958-017-3507-0

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