Atle Selberg

On Gram's law and the Riemann zeta-function

The attached file is a fragment of what appears to be a lecture from the late 1940s on violations of Gram's law. (The pages are written in Selberg's characteristic light blue ink from that period and are of standard American size. They were found on a shelf near his office desk.)

The material is closely connected with the assertions made in section IV of Selberg's 1946 Scandinavian Math Congress paper, "The zeta-function and the Riemann hypothesis"; cf. item #17 the list of publications.