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arXiv · 2302.07508

Jacob's ladders and vector operator producing new generations of $L_2$-orthogonal systems connected with the Riemann's $\zeta(\frac 12+it)$ function

Jan Moser
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Abstract

In this paper we introduce a generating vector-operator acting on the class of functions $L_2([a,a+2l])$. This operator produces (for arbitrarily fixed $[a,a+2l]$) infinite number of new generation $L_2$-systems. Every element of the mentioned systems depends on Riemann's zeta-function and on Jacob's ladder.

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Jan Moser. 2023-02-15. Jacob's ladders and vector operator producing new generations of $L_2$-orthogonal systems connected with the Riemann's $\zeta(\frac 12+it)$ function. https://arxiv.org/abs/2302.07508

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