Author Affiliation, Ana.
Department of Mathematics and Computer Science
Analytic and probabilistic number theory of additive arithmetic semigroups
Date of Publication
This is a short survey of the forthcoming book Number Theory Arising from Finite Fields - analytic and probabilistic theory. We give details of a number of the main theorems in the book. These are abstract prime number theorems, mean-value theorems of multiplicative functions, infinitely divisible distributions and central limit theorems. We also highlight new research directions. (AU)....