A new reason for doubting the Riemann hypothesis

Philippe Blanc

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arXiv · 1706.09740

A new reason for doubting the Riemann hypothesis

Philippe Blanc

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Abstract

We make plausible the existence of counterexamples to the Riemann hypothesis located in the neighbourhood of unusually large peaks of $\vert ζ\vert$. The main ingredient in our argument is an identity which links the zeros of a function $f$ defined on the interval $[-a,a]$ and the values of its derivatives of odd order at $\pm a$.

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Philippe Blanc. 2017-07-06. A new reason for doubting the Riemann hypothesis. https://arxiv.org/abs/1706.09740

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