The zeros of the Riemann zeta-function

E. C. Titchmarsh

Type: Article

Publication Date: 1936-11-02

Citations: 42

DOI: https://doi.org/10.1098/rspa.1936.0192

Abstract

In my previous paper I described calculations which show that all the zeros of ζ ( s ), where s = σ + it , between t = 0 and t = 390 lie on the line σ = ½. With the help of a Government Grant, these calculations have now been carried as far as t =1468. The number of zeros up to this point is 1041, and they all lie on the line σ = ½. I have to thank Dr. L. J. Comrie for planning and supervising the calculations, which were carried out with Brunsviga, National, and Hollerith machines.

Locations

Proceedings of the Royal Society of London A Mathematical and Physical Sciences - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
Rikkyo University academic repository (Rikko Roots) (Rikkyo University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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