Geodesic
Jacob's ladders, the structure of the Hardy--Littlewood integral and some new class of nonlinear integral equations
Informatics and Automation, Number theory, algebra, and analysis, Tome 276 (2012), pp. 213-226.

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In this paper we obtain new formulae for short and microscopic parts of the Hardy–Littlewood integral, and the first asymptotic formula for the sixth-order expression $|\zeta(\frac12+i\varphi _1(t))|^4|\zeta(\frac 12+it)|^2$. These formulae cannot be obtained in the theories of Balasubramanian, Heath-Brown and Ivić. 
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_276_a16/}
}
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Jan Moser. Jacob's ladders, the structure of the Hardy--Littlewood integral and some new class of nonlinear integral equations. Informatics and Automation, Number theory, algebra, and analysis, Tome 276 (2012), pp. 213-226. http://geodesic.mathdoc.fr/item/TRSPY_2012_276_a16/

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