Łukasz Pańkowski

TL;DR: For arbitrary Dirichlet L-functions, the authors showed that for any Dirichlets L(s, ε, δ), δ(n) = 0, √ √ n, ϴ(a, b, c) = 1, ϵ, c, c), ε can simultaneously approximate any given set of analytic functions on a simply connected compact subset of the right open half of the critical strip, provided the pairs of the analytic functions are distinct and satisfy certain conditions.

TL;DR: In this article, it was shown that self-approximation of the Riemann Hypothesis with d = 0 is equivalent to the strong recurrence for non-zero rational parameters.

TL;DR: In this article, the authors introduce a new method how to use only an orthonormality relation of coefficients of Dirichlet series defining given L-functions from the Selberg class to prove joint universality.

TL;DR: In this paper, lower bounds for L-functions from the Selberg class were obtained by the second author together with Jorn Steuding, who used the resonance method and Diophantine approximation.

TL;DR: In this paper, it was shown that any polynomial of zeta or L-functions with some conditions has infinitely many complex zeros off the critical line and that the Lindelof hypothesis for the Riemann zeta-function is equivalent to Lindeloff hypothesis for zeta functions mentioned above.