The files below appear to be three drafts of a lecture on elementary methods and generalized (Beurling) primes that Selberg gave during the 1948-49 academic year when he was at Syracuse University. The first two go together in terms of their initial hypotheses.

Lecture 6 in the 1998 Hong Kong lecture series focuses on much the same material. The underlying technique is of course very closely tied to that of item #22 in the list of publications.