Research Article

Extended computation of the Riemann zeta-function

D. H. Lehmera1

a1 Department of Mathematics, University of California, Berkeley 4, California

In 1955 a programme of study of the first 10000 zeros of the Riemann Zeta-function


was completed. Use was made of the high-speed digital computer SWAC and a report of this programme has appeared recently [1]. More recently still, the programme has been extended to the first 25000 zeros. All these zeros have σ= ½ The purpose of this paper is to summarize the methods needed for this (and possibly future) work from the highspeed computer point of view.

(Received July 06 1956)