ON THE ZEROS OF ζ (s) NEAR THE CRITICAL LINE

نویسنده

  • YITANG ZHANG
چکیده

Let ρ = β ′ + iγ ′ denote the zeros of ζ (s), s = σ + i t . It is shown that there is a positive proportion of the zeros of ζ (s) in 0 < t < T satisfying β ′ − 1/2 (log T )−1. Further results relying on the Riemann hypothesis and conjectures on the gaps between the zeros of ζ(s) are also obtained.

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تاریخ انتشار 2001