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- W1876532821 abstract "Let the symbols ${gamma}, {t_0}; t_0not=gamma$ denote the sequences of the roots of the equations $$Z(t)=0,quad text{and}qquad Z'(t)=0,$$ respectively, and $$m(t_0)=min{gamma-t_0,t_0-gamma'},quad Q(t_0)=max{gamma-t_0,t_0-gamma'},quad gamma'<t_0<gamma,$$ where $gamma',gamma$ are the neighboring zeroes. We have proved the following in this paper: on the Riemann hypothesis we have $$frac{Q(t_0)}{m(t_0)}<t_0ln^2t_0ln_2t_0ln_3t_0,quad t_0toinfty.$$ This paper is the English version of the paper of ref. cite{5}." @default.
- W1876532821 created "2016-06-24" @default.
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- W1876532821 date "2013-07-03" @default.
- W1876532821 modified "2023-09-27" @default.
- W1876532821 title "Distribution of the roots of the equations $Z(t)=0$, $Z'(t)=0$ in the theory of the Riemann zeta-function" @default.
- W1876532821 cites W1997637031 @default.
- W1876532821 hasPublicationYear "2013" @default.
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