A minimal integral of the Riemann $\mathrm{\Xi }$-function

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 $\mathrm{\Xi }(t),t\in [{\omega }_n,{\omega }_{n+1}]$ are equal. Dedicated to the 500th anniversary of rabbi L"ow.