English

A note on the gaps between consecutive zeros of the Riemann zeta-function

Number Theory 2021-09-23 v1

Abstract

Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at most 0.5155 times the average spacing and infinitely often they differ by at least 2.69 times the average spacing.

Keywords

Cite

@article{arxiv.0910.2052,
  title  = {A note on the gaps between consecutive zeros of the Riemann zeta-function},
  author = {H. M. Bui and M. B. Milinovich and N. Ng},
  journal= {arXiv preprint arXiv:0910.2052},
  year   = {2021}
}

Comments

7 pages. Submitted for publication