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.
By:
Marc Technau Imprint: Wurzburg University Press Dimensions:
Height: 244mm,
Width: 170mm,
Spine: 6mm
Weight: 181g ISBN:9783958260887 ISBN 10: 3958260888 Pages: 106 Publication Date:24 August 2018 Audience:
General/trade
,
ELT Advanced
Format:Paperback Publisher's Status: Active