On the distribution of arithmetic functions
This book deals with the distribution of arithmetic functions under digital constraint and related questions.
The word "distribution" refers to various concepts and facts, including uniform distribution and distribution functions of certain sequences.
Indeed, we study the distribution of the largest prime factor of an integer with restriction to strongly q-additive functions.
Next, we are interested in a k-freeness problem.
Then, we consider the distribution of additive functions subject to certain congruence conditions.
Particularly, we prove an Erdos-Kac type theorem for primes verifying a digital constraint.
Walid Wannes, Ph.
D., has research interests in the distribution of arithmetic functions and uniform distribution modulo one.
He is currently an assistant professor at the university of Sfax (Tunisia), where he earned his doctoral degree in mathematics, specializing in analytic number theory.