On primality of the combination of exponential functions
The author proves a number of interesting theorems dealing with prime entire functions of the form \(\sum^{m}_{j=1}Q_ j(z)e^{P_ j(z)}\). Among other things he proves the following Theorem: Let \(P_ 1(z),...,P_ m(z)\) be polynomials, and \(Q_ 1(z),...,Q_ m(z)\) be rational functions. Then the function \[ F(z)=\sum^{m}_{j=1}Q_ j(z)e^{P_ j(z)} \] is pseudo-prime.
scientific article; zbMATH DE number 3964329