Jacob's ladders and $|\zeta|^{-2}$-representation of some functionals generated by a new class of transcendental integrals

Abstract

In this paper we introduce a new infinite set of transcendental integrals. Each of them is expressed by corresponding value of the function $|\zf|^{-2}$. Such a property is another argument about universality of the Riemann zeta-function $\zf$ in the field of pure mathematics.