Large gaps between consecutive zeros of the Riemann zeta-function

JOURNAL OF NUMBER THEORY

卷:131

Article

Bui, H. M.

关键词: Distribution of zeros;    Zero spacings;    Riemann zeta-function;   

DOI  :  10.1016/j.jnt.2010.07.010

来源: Elsevier

【 摘 要 】

Combining the amplifiers, we exhibit other choices of coefficients that improve the results on large gaps between the zeros of the Riemann zeta-function. Precisely, assuming the Generalized Riemann Hypothesis (GRH), we show that there exist infinitely many consecutive gaps greater than 3.033 times the average spacing. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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