The Computation of the Zeros of Hecke Zeta Functions in the Gaussian Field

Details The Computation of the Zeros of Hecke Zeta Functions in the Gaussian Field The Computation of the Zeros of Hecke Zeta Functions in the Gaussian Field

Dec 1961

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1961rspsa.264..496d&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 264, Issue 1319, pp. 496-502

Statistics

Computation

Scientific paper

In this paper, a method is described for calculating the values and
zeros of Hecke zeta functions over the Gaussian field. This has been
coded for the Mercury computer at Manchester University. The computation
of the functions was carried out for R s = 1/2 and, in the range of
calculation, they were found to satisfy the Riemann hypothesis.

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