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Extended computation of the Riemann zeta-function

Published online by Cambridge University Press:  26 February 2010

D. H. Lehmer
D. H. Lehmer
Affiliation:
Department of Mathematics, University of California, Berkeley 4, California
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Extract

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.

Type
Research Article
Information
Mathematika , Volume 3 , Issue 2 , December 1956 , pp. 102 - 108
Copyright
Copyright © University College London 1956

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References

1.Lehmei, D. H., “On the roots of the Rieman Zeta-function”, Ada Math., 95 (1956), 291–298.Google Scholar
2.Hutchinson, J. I., “On the roots of the Riemann Zeta function”, Trans. American Math. Soc., 27 (1925), 49–60.CrossRefGoogle Scholar
3.Titchmarsh, E. C., The Theory of the Eiemarin Zeta-function (Oxford, 1951), Ch. 4.Google Scholar