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

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

2009-09-22

arxiv.org/abs/0909.3928v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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 $h=6.6\times
10^{-27}$ (the numerical value of elementary Planck quantum). The result of the
paper cannot be obtained in known theories of Balasubramanian, Heath-Brown and
Ivic.

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