A minimal integral of the Riemann $Ξ$-function

Details A minimal integral of the Riemann $Ξ$-function A minimal integral of the Riemann $Ξ$-function

2011-08-04

arxiv.org/abs/1108.1091v2

Mathematics

Classical Analysis and ODEs

minor change

Scientific paper

In this paper we obtain an equilibrium sequence $\{\omega_n\}$ for which the
following holds true: the areas (measures) of the figures corresponding to the
positive and negative parts, respectively, of the graph of the function
$\Xi(t),\ t\in[\omega_n,\omega_{n+1}]$ are equal. Dedicated to the 500th
anniversary of rabbi L\"ow.

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