4 papers
On the Summatory Function of
Sebastian Tudzi
In this article, we refine the method of our earlier work with N. Paloj{ä}rvi to obtain a sharper explicit bound for the error term associated with the summatory funct…
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 for all integers , and completely explicit estimates for integers . The explicit…
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 , where is the number of way…
New bounds and progress towards a conjecture on the summatory function of
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 counts the number of prime factors of , with mu…