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arXiv · 1003.4813

Congruent number and Elliptic curves

Dang Vu Giang
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Abstract

We prove that if an integral equation has a positive solution then all complex roots of the famous Riemann zeta function are distinct and having the real part 1/2. We also prove that the minimal distance between two consecutive real simple roots of the function $\Xi$ in $(0,T)$ is less than $\frac 1{A\ln T}$.

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Dang Vu Giang. 2010-03-25. Congruent number and Elliptic curves. https://arxiv.org/abs/1003.4813

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