activity
20042026
most citedOn certain sums concerning the gcd's and lcm's of positive integers

13 citations · 22 across the 8 of their papers we have counts for

collaborators

10 papers

math.CA2026

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…

math.CA2024

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…

math.NT2024★ 1 cited

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)…

math.SP2021

Spectral asymptotics for a family of LCM matrices

Titus Hilberdink, Alexander Pushnitski

We consider the family of arithmetical matrices given explicitly by where is the least common multiple of $…

math.NT2019

The average order of the Möbius function for Beurling primes

Ammar Ali Neamah, Titus W Hilberdink

In this paper, we study the counting functions , and of a generalized prime system . Here is…

math.NT2018

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…