Number Systems and Logical Limit Laws

Abstract

This paper gives a brief overview of the developments that led to writing
the book [5], Number Theoretic Density and Logical Limit Laws, simply called
Density below, and describes the significant role played by the work and correspondence
of John Knopfmacher.
Mathematics Subject Classification (1991): 11N45, 11P82, 03C13
Keywords: number systems, logical limit laws, additive number system,
finite structures, asymptotic, counting functions, algebraic structures, topological
structures, analytic theory of partitions, distribution, multiplicative function,
additive arithmetical semigroup, semigroup, additive function, general, density,
John Knopfmacher

Quaestiones Mathematicae 24(3) 2001, 349-354