English

Jacob's ladders, new properties of the function $\arg\zf$ and corresponding metamorphoses

Classical Analysis and ODEs 2015-06-29 v1
Authors: Jan Moser
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Abstract

The notion of the Jacob's ladders, reversely iterated integrals and the ζ\zeta-factorization is used in this paper in order to obtain new results in study of the function arg⁡\zf\arg\zf. Namely, we obtain new formulae for non-local and non-linear interaction of the functions ∣\zf∣|\zf| and arg⁡\zf\arg\zf, and also a set of metamorphoses of the oscillating Q-system.

Keywords

Jacob's ladders Riemann zeta function argument of zeta function non-linear interaction oscillating Q-system zeta-factorization

Cite

@article{arxiv.1506.07967,
  title  = {Jacob's ladders, new properties of the function $\arg\zf$ and corresponding metamorphoses},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1506.07967},
  year   = {2015}
}

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