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arXiv:1101.3197 [math.NT]AbstractReferencesReviewsResources

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

Johan Bredberg

Published 2011-01-17, updated 2011-06-16Version 3

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.

Comments: Minor typos fixed. Also, now we first discuss our goal and then examine some needed integral-results. The actual maths is essentially unchanged
Categories: math.NT
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