Riemann hypothesis and the arc length of the Riemann Z(t)-curve

2014/04/07 by Jan Moser, Moser, Jan
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1404.1717

arxiv created 2014/04/07 · arxiv updated 2014/04/08

Abstract

On Riemann hypothesis it is proved in this paper that the arc length of the Riemann Z-curve is asymptotically equal to the double sum of local maxima of the function Z(t) on corresponding segment. This paper is English remake of our paper \cite9, with short appendix concerning new integral generated by Jacob's ladders added.

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