Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function
Classical Analysis and ODEs
2014-02-11 v1
Abstract
It is proved in this paper that continuum set of -orthogonal systems generated by the Riemann zeta-function on the critical line corresponds to every fixed -orthogonal system on a fixed segment. This theorem serves as a resource for new set of integrals not accessible by the current methods in the theory of the Riemann zeta-function. \noindent Dedicated to the 100th anniversary of G.H. Hardy's fundamental theorem: the function has an infinite set of zeros, \cite{1}.
Keywords
Cite
@article{arxiv.1402.2098,
title = {Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function},
author = {Jan Moser},
journal= {arXiv preprint arXiv:1402.2098},
year = {2014}
}