On the roots of the equation $Z'(t)=0$

Jan Moser

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arXiv · 1303.0967

On the roots of the equation $Z'(t)=0$

Jan Moser

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Abstract

We have proved in this paper that the Lindel\" of hypothesis generates essential contraction of distances between consecutive odd-order zeros of the function $Z'(t)$. This paper is the translation of the paper \cite{11} into the English except part 8 that we added in order to point out the I. M. Vinogradov' scepticism on possibilities of the method of trigonometric sums.

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Jan Moser. 2013-03-05. On the roots of the equation $Z'(t)=0$. https://arxiv.org/abs/1303.0967

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