On the zeros of the riemann zeta function in the critical strip. ii

Brent, R. P.; Van De Lune, J.; Te Riele, H. J.; Winter, D. T.

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On the zeros of the riemann zeta function in the critical strip. ii

Date

1982

Authors

Abstract

We describe extensive computations which show that Riemann's zeta function f(s) has exactly 200, 000, 001 zeros of the form a + it in the region 0 < t < 81, 702, 130.19; all these zeros are simple and he on the line a = j. (This extends a similar result for the first 81, 000, 001 zeros, established by Brent in Math. Comp., v. 33, 1979, pp. 1361-1372.) Counts of the numbers of Gram blocks of various types and the failures of "Rosser's rule" are given.