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arXiv · 1506.02395

On statistical arc length of the Riemann $Z(t)$-curve

Jan Moser
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Abstract

In this paper we study certain stochastic process that is generated by the Riemann-Siegel formula. Further, we construct corresponding statistical model by a way similar to those used in telecommunication. We define statistical arc length of the Riemann $Z(t)$-curve in this model and obtain an asymptotic formula for that length. This paper is English remake of our work of reference \cite{4}.

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Jan Moser. 2015-06-08. On statistical arc length of the Riemann $Z(t)$-curve. https://arxiv.org/abs/1506.02395

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