English

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

Number Theory 2011-06-17 v3

Abstract

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

Keywords

Cite

@article{arxiv.1101.3197,
  title  = {Large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function},
  author = {Johan Bredberg},
  journal= {arXiv preprint arXiv:1101.3197},
  year   = {2011}
}

Comments

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