Hilbert's Moment Functions, and not his probability theory, has been a lifelong research interest for a Professor Emeritus from the University of Toronto. A theorem has been very strongly suggested by computer data but no proof has been found. The starting point was an investigation of an integral equation, related to the Hilbert matrix and to Hilbert's inequality. The summarized findings are posted on the web and he is now searching for people to help with taking the investigation further or pointing out any error in the argument. The web address is: http://www.genexisdesign.com/math.html. My father is a well know author, but due to his advanced age (88 years), he is unable to handle volumes of mail anymore. I am not a mathematician but will forward any enquiries to him, and then he will correspond directly. Please send enquires to Anne Leon.