Sebastian Tudzi

activity

20242026

collaborators

3 papers

math.NT2026

Explicit and Effective Estimates for the error term in the Generalised Divisor Problem

Neea Palojärvi, Sebastian Tudzi

In this article, we obtain effective estimates for the error term $Δ_{k} (x)$ for all integers $k \geq 2$ , and completely explicit estimates for integers $k \in [3, 9]$ . The explicit…

math.NT2025

On the Generalised Divisor Problem

Sebastian Tudzi

In this paper, we apply the Dirichlet convolution method to \begin{equation*} T_{k}(x)=\sum_{n \leq x} d_{k}(n), \end{equation*} for $k \geq 3$ , where $d_{k} (n)$ is the number of way…

math.NT2024

New bounds and progress towards a conjecture on the summatory function of $(- 2)^{Ω (n)}$

Daniel R. Johnston, Nicol Leong, Sebastian Tudzi

In this article, we study the summatory function \begin{equation*} W(x)=\sum_{n\leq x}(-2)^{Ω(n)}, \end{equation*} where $Ω (n)$ counts the number of prime factors of $n$ , with mult…

Explicit and Effective Estimates for the error term in the Generalised Divisor Problem

On the Generalised Divisor Problem

New bounds and progress towards a conjecture on the summatory function of (−2)Ω(n)

New bounds and progress towards a conjecture on the summatory function of $(- 2)^{Ω (n)}$