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- W3121077926 abstract "In this 5 page note we first derive an infinite series with nonnegative terms from a Lambert series of the Liouville function $lambda(n)$. Then we prove the Laplace transforms of its partial sums are convergent for $sigma>frac{1}{2}$, and uniformly for any $tinmathbb{R}$. Finally we show that if there exists any $s_{0}$ with $1>sigma_{0}>frac{1}{2}$ such that $zeta(s_{0})=0$, then we must have $zeta(2s_{0})=0$, which contradicts the well-known fact that $zeta(s)neq0$ for $sigmage1$." @default.
- W3121077926 created "2021-01-18" @default.
- W3121077926 creator A5044217390 @default.
- W3121077926 date "2015-06-16" @default.
- W3121077926 modified "2023-09-27" @default.
- W3121077926 title "A Proof of Riemann Hypothesis" @default.
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- W3121077926 doi "https://doi.org/10.48550/arxiv.1506.07012" @default.
- W3121077926 hasPublicationYear "2015" @default.
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