4 papers
What lies between polynomial and exponential growth?
Titus Hilberdink
In this paper we give an alternative exposition of a recent paper regarding the classification of growth rates of real functions. We take a different point of view, focussing on un…
Classifying Functions via growth rates of repeated iterations
Titus Hilberdink
In this paper we develop a classification of real functions based on growth rates of repeated iteration. We show how functions are naturally distinguishable when considering invers…
A Mean Value Theorem for general Dirichlet Series
Frederik Broucke, Titus Hilberdink
In this paper we obtain a mean value theorem for a general Dirichlet series with positive coefficients for which the counting function $A(x)…
On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s
T. Hilberdink, E. Saias
Our main result is to answer a question of Michel Balazard by giving a Dirichlet series with only one zero in its half-plane of convergence. At the end of the paper we also give se…