On the zeros of \(\zeta^{(l)}(s) - a\) (On the zeros of a class of a generalized Dirichlet series. XVII)
This paper proves very precise results on the roots of \(\zeta^{(l)} (s) = a\) in the region \(\sigma>1\). Here \(a\) is any fixed complex number and \(\zeta^{(l)} (s)\) is the \(l\)-th derivative, where \(l\) is large in terms of \(a\). These results are derived from analogous statements for generalized Dirichlet series, which are themselves proved via Rouché's Theorem.
scientific article; zbMATH DE number 903361