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arXiv · 0909.3928

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

Jan Moser
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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 $h=6.6\times 10^{-27}$ (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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Jan Moser. 2009-09-22. Jacob's ladders and the quantization of the Hardy-Littlewood integral. https://arxiv.org/abs/0909.3928

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