Gaps between Zeros of the Derivative of the Riemann Ξ-function
نویسنده
چکیده
Abstract. Assuming the Riemann hypothesis, we investigate the distribution of gaps between the zeros of ξ(s). We prove that a positive proportion of gaps are less than 0.796 times the average spacing and, in the other direction, a positive proportion of gaps are greater than 1.18 times the average spacing. We also exhibit the existence of infinitely many normalized gaps smaller (larger) than 0.7203 (1.5, respectively).
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