English

Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions $J_\nu(x)$ and $|\zf|^4$

Classical Analysis and ODEs 2010-11-30 v1

Abstract

It is shown in this paper that the Jacob's ladder is the asymptotic solution to the new nonlinear integral equations which correspond to the functions Jν(x)J_\nu(x) and \zf4|\zf|^4.

Keywords

Cite

@article{arxiv.1011.6198,
  title  = {Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions $J_\nu(x)$ and $|\zf|^4$},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1011.6198},
  year   = {2010}
}