Jacob's ladders and vector operator producing new generations of L₂-orthogonal systems connected with the Riemann's ζ(\frac 12+it) function

2023/02/15 by Moser, Jan · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.07508

Abstract

In this paper we introduce a generating vector-operator acting on the class of functions L₂([a,a+2l]). This operator produces (for arbitrarily fixed [a,a+2l]) infinite number of new generation L₂-systems. Every element of the mentioned systems depends on Riemann's zeta-function and on Jacob's ladder.

Cited by

• Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new ζ-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence

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