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| Main Authors: | , |
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| Formato: | Preprint |
| Publicado em: |
2017
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| Assuntos: | |
| Acesso em linha: | https://arxiv.org/abs/1704.05747 |
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Sumário:
- Let $Ξ(t)$ be a function relating to the Riemann zeta function $ζ(s)$ with $s = \frac{1} {2} + it$. In this paper, we construct a function $v$ containing $t$ and $Ξ(t)$, and prove that $v$ satisfies a nonadjoint boundary value problem to a nonsingular differential equation if $t$ is any nontrivial zero of $Ξ(t)$. Inspecting properties of $v$ and using known results of nontrivial zeros of $ζ(s)$, we derive that nontrivial zeros of $ζ(s)$ all have real part equal to $\frac{1} {2}$, which concludes that Riemann Hypothesis is true.