A NOTE ON THE GAPS BETWEEN CONSECUTIVE ZEROS OF THE RIEMANN ZETA-FUNCTION

H. M.BUI; M.B.MILINOVICH; N.C.NG

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A NOTE ON THE GAPS BETWEEN CONSECUTIVE ZEROS OF THE RIEMANN ZETA-FUNCTION

机译：关于RIEMANN ZETA函数的连续ZEROS之间的间隙的注释

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摘要

Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at most 0. 5155 times the average spacing and that infinitely often they differ by at least 2.6950 times the average spacing.

机译：假设黎曼假设，我们表明，黎曼zeta函数的无限经常连续的非平凡零之差最多为平均间距的0. 5155倍，并且它们经常无限地相差至少2.6950倍的平均间距。

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《Proceedings of the American Mathematical Society》 |2010年第12期|共9页
作者
H. M.BUI; M.B.MILINOVICH; N.C.NG;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Distribution of zeros; Riemann Hypothesis; Riemann zeta-function;

机译：零点分布;黎曼假说;黎曼zeta函数;

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1. A Standard Method to Prove That the Riemann Zeta Function Equation Has No Non-Trivial Zeros [J] . Xiaochun Mei 理论数学进展（英文） . 2020,第002期
2. A NOTE ON THE GAPS BETWEEN CONSECUTIVE ZEROS OF THE RIEMANN ZETA-FUNCTION [J] . H. M.BUI, M.B.MILINOVICH, N.C.NG Proceedings of the American Mathematical Society . 2010,第12期

机译：关于RIEMANN ZETA函数的连续ZEROS之间的间隙的注释
3. Large gaps between consecutive zeros of the Riemann zeta-function [J] . Bui H.M. Journal of Number Theory . 2011,第1期

机译：黎曼zeta函数的连续零之间的大间隙
4. A NOTE ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE RIEMANN ZETA-FUNCTION [J] . XIAOSHENG WU Proceedings of the American Mathematical Society . 2014,第3期

机译：关于RIEMANN ZETA函数的零点间的间隙分布的注记
5. ON THE REMAINDER TERM OF THE PRIME NUMBER FORMULA AND THE ZEROS OF RIEMANN'S ZETA-FUNCTION [C] . J. Pintz Journées arithmétiques . 2020

机译：在素数公式的其余术语和黎曼的Zeta函数的零
6. The Logarithm of the Riemann Zeta-Function Near the Nontrivial Zeros [D] . ?Cicek, Fatma 2020

机译：黎曼ζ ，功能接近的非平凡零点的对数
7. At Least One-Third of Zeros of Riemanns Zeta-Function are on σ = ½ [O] . Norman Levinson 1974

机译：Riemann的Zeta函数的零的至少三分之一为σ=½
8. A note on the gaps between consecutive zeros of the Riemann zeta-function [O] . H. M. Bui, M. B. Milinovich, N. Ng 2016

机译：关于黎曼ζ函数的连续零点之间的间隙的注记

A NOTE ON THE GAPS BETWEEN CONSECUTIVE ZEROS OF THE RIEMANN ZETA-FUNCTION

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