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On large gaps between zeros of the Riemann zeta-function

Number Theory 2011-12-30 v1

Abstract

Assuming the Generalized Riemann Hypothesis(GRH), we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at least 3.072 times the average spacing.

Keywords

Cite

@article{arxiv.1112.6038,
  title  = {On large gaps between zeros of the Riemann zeta-function},
  author = {Feng Shaoji and Wu Xiaosheng},
  journal= {arXiv preprint arXiv:1112.6038},
  year   = {2011}
}