Large gaps between consecutive zeros of the Riemann zeta-function

Details Large gaps between consecutive zeros of the Riemann zeta-function Large gaps between consecutive zeros of the Riemann zeta-function

2009-03-24

arxiv.org/abs/0903.4007v3

Mathematics

Number Theory

21 pages

Scientific paper

Combining the mollifiers, we exhibit other choices of coefficients that
improve the results on large gaps between the zeros of the Riemann
zeta-function. Precisely, assuming the Generalized Riemann Hypothesis (GRH), we
show that there exist infinitely many consecutive gaps greater than 3.033 times
the average spacing.

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