2,386 research outputs found
Computing the zeros of the partial sums of the Riemann zeta function
In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riemann zeta function inside infinitely many rectangles of the critical strips where they are situated
Zeroes of partial sums of the zeta-function
This article considers the positive integers for which has zeroes in the half-plane . Building on
earlier results, we show that there are no zeroes for and for
. For all other there are infinitely many zeroes.Comment: 5 Pages - Final Version will appear in LMS JC
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