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arXiv · 1309.6758

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

Jan Moser
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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.

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Jan Moser. 2013-09-26. Jacob's ladders and $|ζ|^{-2}$-representation of some functionals generated by a new class of transcendental integrals. https://arxiv.org/abs/1309.6758

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