Angular distribution of zeros of the partial sums of \(e^z\) via the solution of inverse logarithmic potential problem
Let \(s_n (z):=\sum_{k=0}^{n}\frac{z^k}{k!}\) denote the \(n\)th partial sum of the exponential function \(e^z\). The paper under review is devoted to the investigation of the angular distribution of the zeros of the normalized partial sums \(s_n (nz)\). The authors consider this problem in the setting of an inverse problem of potential theory and prove an Erdős-Turán-type theorem.
scientific article; zbMATH DE number 5152626
scientific article