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

Abstract

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.

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

Cited by in corpus (2)

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