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    Würzburg University Press

    On Beatty sets and some generalisations thereof


    Marc Technau | Würzburg, 2018 | ISBN 978-3-95826-088-7 | € 21,80

    Softcover, 104 Seiten
    Sprache: Englisch
    Erscheinungstermin: 24.08.2018

    Beatty sets (also called Beatty sequences) have appeared as early as 1772 in the astronomical studies of Johann III Bernoulli as a tool for easing manual calculations and - as Elwin Bruno Christoffel pointed out in 1888 - lend themselves to exposing intricate properties of the real irrationals. Since then, numerous researchers have explored a multitude of arithmetic properties of Beatty sets; the interrelation between Beatty sets and modular inversion, as well as Beatty sets and the set of rational primes, being the central topic of this book. The inquiry into the relation to rational primes is complemented by considering a natural generalisation to imaginary quadratic number fields

    Marc Technau Logo ORCID https://orcid.org/0000-0001-9650-2459,  geboren 1993 in Freiburg im Breisgau, M.Sc. (Mathematik)

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