English

Jacob's ladders and the quantization of the Hardy-Littlewood integral

Classical Analysis and ODEs 2009-09-23 v1

Abstract

We use Jacob's ladders to solve the fine problem how to divide of the Hardy-Littlewood integral to equal parts, for example of magnitude h=6.6×1027h=6.6\times 10^{-27} (the numerical value of elementary Planck quantum). The result of the paper cannot be obtained in known theories of Balasubramanian, Heath-Brown and Ivic.

Keywords

Cite

@article{arxiv.0909.3928,
  title  = {Jacob's ladders and the quantization of the Hardy-Littlewood integral},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:0909.3928},
  year   = {2009}
}