Value distribution for the derivatives of the logarithm of $L$-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 $\delta >0$, the function $(\log \mathcal{L}(s){)}^{(m)}$, where $m\in \mathbb{N}\cup \{0\}$ and ${\mathcal{L}} (s) := \sum_{n=1}^\infty…