Knopfmacher Expansions in Number Theory

Abstract

We survey in this paper J. Knopfmacher results on number theoretical expansions
as they arised from our common collaboration.
Mathematics Subject Classification (1991): 11K55, 60J10, 60G10, 60K99
Keywords: metric theory, algorithms, expansions, measure dimension,
Hausdorff dimension, Knopfmacher expansions, number theory, Markov chains,
discrete parameter, commutative, rings, ring, identities, x-ideal, integers,
infinitude of primes, primes, algebra


Quaestiones Mathematicae 24(3) 2001, 393-401