## On the zeros of the Riemann zeta function in the critical
strip, II

70. R. P. Brent, J. van de Lune, H. J. J. te Riele and D. T. Winter,
On the zeros of the Riemann zeta function in the critical strip, II,
* Mathematics of Computation* 39 (1982), 681-688.
MR 83m:10067.
Corrigendum * ibid* 46 (1986), 771.
MR 87e:11103.
Abstract:
dvi (3K),
pdf (80K),
ps (28K).

Paper:
pdf (776K).

Corrigendum:
pdf (96K).

## Abstract

We describe extensive computations which show that Riemann's zeta function
has exactly 200,000,001 zeros of the form
*sigma* + i.*t*
in the region 0 <*t* < 81,702,130.19;
all these zeros are simple and lie on the line *sigma* = 1/2.
This extends a result for the first 81,000,001
zeros, established by Brent in
[47].
Counts of the numbers of Gram blocks of various types
and the failures of "Rosser's rule" are given.
## Comments

A more detailed version appeared as
[81].
For a further extension, see
van de Lune *et al*,
* Mathematics of Computation* 46 (1986) 667-681.
For more recent results see the
Zeta-Grid page
maintained by Sebastian Wedeniwski.

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