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arXiv · 0911.5572

An equation satisfied by all non-trivial zeros $\rho$ of the Riemann zeta function $\zeta$

Roupam Ghosh
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Abstract

We show that if $\rho$ is a non-trivial zero of the Riemann zeta function $\zeta$ then $$2^\rho + \frac{1}{\rho - 1} + 1/2 = \rho \int_{1}^{\infty} {t + 1/2} t^{-\rho-1} dt$$ where, ${x}$ is the fractional part of $x$.

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Roupam Ghosh. 2009-11-30. An equation satisfied by all non-trivial zeros $\rho$ of the Riemann zeta function $\zeta$. https://arxiv.org/abs/0911.5572

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