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arXiv · 0911.1246

Jacob's ladders and the first asymptotic formula for the expression of the sixth order $|ζ(1/2+iφ(t)/2)|^4|ζ(1/2+it)|^2$

Jan Moser
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Abstract

t is proved in this paper that there is a fine correlation between the values of $|ζ(1/2+iφ(t)/2)|^4$ and $|ζ(1/2+it)|^2$ which correspond to two segments with gigantic distance each from other. This new asymptotic formula cannot be obtained in known theories of Balasubramanian, Heath-Brown and Ivic.

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Jan Moser. 2010-01-12. Jacob's ladders and the first asymptotic formula for the expression of the sixth order $|ζ(1/2+iφ(t)/2)|^4|ζ(1/2+it)|^2$. https://arxiv.org/abs/0911.1246

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