On Beatty sets and some generalisations thereof (Paperback) (ISBN-13: 9783958260887)

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.

Author: Marc Technau
ISBN-10: 3958260888
ISBN-13: 9783958260887
Publisher: Wurzburg University Press
Language: English
Published: 08/24/2018
Pages: 106
Format: Paperback
Weight: 0.40lbs
Size: 9.61h x 6.69w x 0.22d