Łukasz Pańkowski

activity

20152020

collaborators

3 papers

math.NT2020

Joint value-distribution of shifts of the Riemann zeta-function

Łukasz Pańkowski

We prove that any non-zero complex values $z_{1}, \dots, z_{n}$ can be approximated by the following integral shifts of the Riemann zeta-function $ζ (s + i d_{1} τ), \dots, ζ (s + i d_{n} τ)$ for infi…

math.NT2018

Note on the number of divisors of reducible quadratic polynomials

Adrian W. Dudek, Łukasz Pańkowski, Victor Scharaschkin

In a recent paper, Lapkova uses a Tauberian theorem to derive the asymptotic formula for the divisor sum $\sum_{n \leq x} d (n (n + v))$ where $v$ is a fixed integer and $d (n)$ denot…

math.NT2015

Selberg's orthonormality conjecture and joint universality of L-functions

Yoonbok Lee, Takashi Nakamura, Łukasz Pańkowski

In the paper we introduce the new approach how to use an orthonormality relation of coefficients of Dirichlet series defining given L-functions from the Selberg class to prove join…