English

Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral

Classical Analysis and ODEs 2011-01-17 v1

Abstract

We obtain some new properties of the signal generated by the Riemann zeta-function in this paper. Namely, we show the connection between the function \zf\zf and a nonlinear integral equation related to the Poisson-Lobachevsky integral.

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Cite

@article{arxiv.1101.2775,
  title  = {Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1101.2775},
  year   = {2011}
}