Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself

Jan Moser

Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself

Classical Analysis and ODEs 2011-07-27 v1

Authors: Jan Moser

Abstract

It is proved that some set of the values of $|\zeta(\sigma_0+i\vp_1(t))|^2$ on every fixed line $\sigma=\sigma_0>1$ generates a corresponding set of the values of $|\zeta(\frac 12+it)|^2$ on the critical line $\sigma=\frac 12$ (i.e. we have an analogue of the Faraday law).

Keywords

Riemann zeta-function Jacob's ladders critical line Faraday law analogue three-points interaction

Cite

@article{arxiv.1107.5200,
  title  = {Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1107.5200},
  year   = {2011}
}

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