Negative values of the Riemann zeta function on the critical line

Details Negative values of the Riemann zeta function on the critical line Negative values of the Riemann zeta function on the critical line

2011-09-10

arxiv.org/abs/1109.2224v2

Mathematics

Number Theory

15 pages

Scientific paper

We investigate the intersections of the curve $\mathbb{R}\ni t\mapsto
\zeta({1\over 2}+it)$ with the real axis. We show unconditionally that the
zeta-function takes arbitrarily large positive and negative values on the
critical line.

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