Atle Selberg

On density-type theorems for zeros of the Riemann zeta function [NEW]

A number of unpublished fragments concerning "density theorems" for the zeros of the Riemann zeta-function turned up in Selberg's office. Some were in the cupboards, others on the big tabletop.

The six files below are some reasonably coherent portions of this material. They appear to date from the late 1960s (based on internal references) and to be lecture preparations of one type or another. Based on a marginal note, part of the technique utilized in file #6 appears to date back to 1945-46.