On gaps between zeros of the Riemann zeta function

Details On gaps between zeros of the Riemann zeta function On gaps between zeros of the Riemann zeta function

2010-03-03

arxiv.org/abs/1003.0752v1

Mathematics

Number Theory

submitted for publication in January 2010

Scientific paper

Assuming the Riemann Hypothesis, we show that infinitely often consecutive
non-trivial zeros of the Riemann zeta-function differ by at least 2.7327 times
the average spacing and infinitely often they differ by at most 0.5154 times
the average spacing.

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