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arXiv · 2012.09694

Jacob's ladder as generator of new class of iterated $L_2$-orthogonal systems and their dependence on the Riemann's function

Jan Moser
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Abstract

In this paper new classes of $L_2$-orthogonal functions are constructed as iterated $L_2$-orthogonal systems. In order to do this we use the theory of the Riemann's zeta-function as well as our theory of Jacob's ladders. The main result is new one in the theory of the Riemann's zeta-function and simultaneously in the theory of $L_2$-orthogonal systems.

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Jan Moser. 2020-12-17. Jacob's ladder as generator of new class of iterated $L_2$-orthogonal systems and their dependence on the Riemann's function. https://arxiv.org/abs/2012.09694

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