On the real projection of the zeros of 1+2^s+...+n^s

Details On the real projection of the zeros of 1+2^s+...+n^s On the real projection of the zeros of 1+2^s+...+n^s

2011-02-14

arxiv.org/abs/1102.2767v1

Mathematics

Complex Variables

26 pages

Scientific paper

In this paper, we focus on the existence of accumulation points of the subset
defined by the real projection of the zeros of the partial sums of the Riemann
zeta functions. That would imply the existence of an infinite amount of zeros
of the partial sums of the Riemann zeta functions arbitrarily close to a line
parallel to the imaginary axis passing through every accumulation point.

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