The Riemann Hypothesis的三个反例
首发时间:2009-08-10
摘要:本文给出了求Riemannζ级数函数近似零点充要性的算法,利用该算法和工具软件Matlab,在计算机上进行了Riemannζ级数函数近似零点的实验性计算,得到了许多可以用来否定Riemann Hypothesis的近似零点。在本文里对作者提出的求Riemannζ级数函数的近似零点的算法给予了严格地数学证明。又对近似零点与准确零点之间的距离给出了估算公式,对这两个重要的公式也给出了严格地数学证明。在这些工作的基础上,作者给出了四个具有代表性的近似零点,通过具体的计算,确定了它们的准确零点,当然也就得到了否定Riemann Hypothesis的反例了。
关键词: Riemann ζ 级数函数 多项式 根轨迹 近似零点 准确零点
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Three mathematical counterexample of the Riemann Hypothesis
Abstract:This paper gaves the full and essential algorithm of the approximate zeros of Riemann ζ series function, the approximate zeros of Riemann ζ series function are solved experimentally by this algorithm and Matlab of the compute tools by compute, many zeros which are used to negrate Riemann Hypothesis were gotten. This paper gaves that the convergence of the author’s algorithm of the approximate zeros of Riemann ζ series function is proved strictly. Two formulas of the distance which is soveld between the approximate zeros of this series function and the exact zeros are given, and these two important formulas are proved and deduced strictly. Base on those jobs,author give four typical zeros, of course, the results of three mathematical counterexample which are gotten by practical caculation negrate Riemann Hypothesis strictly and conclusively.
Keywords: Riemann ζ series function polynomial the root locus approximate zero exact zero
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