Zeros of partial sums of the Riemann zeta-function

Details Zeros of partial sums of the Riemann zeta-function Zeros of partial sums of the Riemann zeta-function

2008-06-30

arxiv.org/abs/0807.0019v2

Mathematics

Number Theory

9 pages

Scientific paper

We investigate the distribution of the zeros of partial sums of the Riemann
zeta-function, sum_{n\leq X}n^{-s}, estimating the number of zeros up to height
T, the number of zeros to the right of a given vertical line, and other aspects
of their horizontal distribution.

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