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Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation

Classical Analysis and ODEs 2010-01-19 v1
Authors: Jan Moser
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Abstract

The nonlinear equation which is connected with the main term of the Hardy-Littlewood formula for ζ2(1/2+it)\zeta^2(1/2+it) is studied. In this direction I obtain the fine results which cannot be reached by published methods of Balasubramanian, Heath-Brown and Ivic in the field of the Hardy-Littlewood integral.

Keywords

jacob's ladders nonlinear diophantine equation hardy-littlewood formula zeta function asymptotic solutions

Cite

@article{arxiv.1001.3019,
  title  = {Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1001.3019},
  year   = {2010}
}

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