On primality of the combination of exponential functions
type: Item
instance of: scholarly article
title: On primality of the combination of exponential functions
zbMATH Open document ID: 0598.30038
published in: Chinese Annals of Mathematics. Series B
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 30D30
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 3964329
zbMATH Keywords: prime entire functions
zbMATH Keywords: pseudo-prime
author: Guo-Dong Song
reviewed by: Fred Gross
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3964329