Large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function

Details Large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function Large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function

2011-01-17

arxiv.org/abs/1101.3197v3

Mathematics

Number Theory

Minor typos fixed. Also, now we first discuss our goal and then examine some needed integral-results. The actual maths is esse

Scientific paper

We show that for any sufficiently large $T,$ there exists a subinterval of
$[T,2T]$ of length at least $2.766 \times \frac{2\pi}{\log{T}},$ in which the
function $t \mapsto \zeta(1/2 + it)$ has no zeros.

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