Lukasz Pa'nkowski

activity

20152024

collaborators

3 papers

math.NT2024

On the sign changes of $ψ (x) - x$

Maciej Grześkowiak, Jerzy Kaczorowski, Łukasz Pańkowski +1

We improve the lower bound for $V (T)$ , the number of sign changes of the error term $ψ (x) - x$ in the Prime Number Theorem in the interval $[1, T]$ for large $T$ . We show that \[ \lim…

math.NT2019

Zeros of $L (s) + L (2 s) + \dots + L (N s)$ in the region of absolute convergence

Łukasz Pańkowski, Mattia Righetti

In this paper we show that for every Dirichlet $L$ -function $L (s, χ)$ and every $N \geq 2$ the Dirichlet series $L (s, χ) + L (2 s, χ) + \dots + L (N s, χ)$ have infinitely many zeros for $σ > 1$ .…

math.NT2015

Joint universality and generalized strong recurrence with rational parameter

Łukasz Pańkowski

We prove that, for every rational $d \neq = 0, \pm 1$ and every compact set $K \subset {s \in C : 1/2 < ℜ (s) < 1}$ with connected complement, any analytic non-vanishing functions $f_…

On the sign changes of ψ(x)−x

Zeros of L(s)+L(2s)+⋯+L(Ns) in the region of absolute convergence

Joint universality and generalized strong recurrence with rational parameter

On the sign changes of $ψ (x) - x$

Zeros of $L (s) + L (2 s) + \dots + L (N s)$ in the region of absolute convergence