On Beatty sets and some generalisations thereof
Seiten
2018
Würzburg University Press (Verlag)
978-3-95826-088-7 (ISBN)
Würzburg University Press (Verlag)
978-3-95826-088-7 (ISBN)
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.
geboren 1993 in Freiburg im Breisgau, M.Sc. (Mathematik)
| Erscheinungsdatum | 26.08.2018 |
|---|---|
| Verlagsort | Würzburg |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 215 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Schlagworte | Beatty-Mengen • Kloosterman-Summe • Primzahl • Zahlentheorie |
| ISBN-10 | 3-95826-088-8 / 3958260888 |
| ISBN-13 | 978-3-95826-088-7 / 9783958260887 |
| Zustand | Neuware |
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