15 citations · 27 across the 7 of their papers we have counts for
6 papers · 1 filter
Notes on Universality in Short Intervals and Exponential Shifts
Johan Andersson, Ramūnas Garunkštis, Roma Kačinskaitė +6
We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas with respect to the length of these intervals. Moreover, we pro…
On mixed joint discrete universality for a class of zeta-functions: One more case
Roma Kacinskaite, Kohji Matsumoto, Lukasz Pankowski
We prove a new case of mixed discrete joint universality theorem on approximation of certain target couple of analytic functions by the shifts of a pair consisting of the function…
Joint Extreme values of -functions
Kamalakshya Mahatab, Łukasz Pańkowski, Akshaa Vatwani
We consider -functions from the Selberg class which have polynomial Euler product and satisfy Selberg's orthonormality condition. We show that on every vertical…
Value distribution for the derivatives of the logarithm of -functions from the Selberg class in the half-plane of absolute convergence
Takashi Nakamura, Łukasz Pańkowski
In the present paper, we show that, for every , the function , where and ${\mathcal{L}} (s) := \sum_{n=1}^\infty…
Any non-monomial polynomial of the Riemann zeta-function has complex zeros off the critical line
Takashi Nakamura, Łukasz Pańkowski
In this paper, we show that any polynomial of zeta or -functions with some conditions has infinitely many complex zeros off the critical line. This general result has abundant a…
Corrigendum for "The generalized strong recurrence for non-zero rational parameters" Archiv der Mathematik 95 (2010), 549-555
Takashi Nakamura, Łukasz Pańkowski
In the present paper, we prove that self-approximation of with is equivalent to the Riemann Hypothesis. Next, we show self-approximation of with respe…