English

Jacob's ladders, nonlinear interactions between $\zeta$-oscillating systems and corresponding constraints

Classical Analysis and ODEs 2017-02-15 v1

Abstract

In this paper we introduce new class of nonlinear interactions of ζ\zeta-oscillating systems. The main formula is generated by corresponding subset of the set of trigonometric functions. Next, the main formula generates certain set of two-parts forms. For this set the following holds true: the cube of two-part form is asymptotically equal to other two-part form -- short functional algebra.

Keywords

Cite

@article{arxiv.1702.04171,
  title  = {Jacob's ladders, nonlinear interactions between $\zeta$-oscillating systems and corresponding constraints},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1702.04171},
  year   = {2017}
}
R2 v1 2026-06-22T18:17:55.329Z