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

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× 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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