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Jacob's ladders and certain asymptotic multiplicative formula for the function $|\zf|^2$

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and new orthogonal systems generated by Jacobi polynomials

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and some new consequences from A. Selberg's formula

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the $\tilde{Z}^2$-transformation of a polynomials in $\ln \vp_1(t)$

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the almost exact asymptotic representation of the Hardy-Littlewood integral

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral of the function $|ζ(1/2+it)|^4$

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the asymptotic formula for the integral of the eight order expression $|ζ(1/2+i\vp_2(t))|^4|ζ(1/2+it)|^4$

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the first asymptotic formula for the expression of the sixth order $|ζ(1/2+i\varphi(t)/2)|^4|ζ(1/2+it)|^2$

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the nonlocal interaction of the function $Z(t)$ with the function $\tilde{Z}^2(t)$ on the distance $\sim (1-c)π(t)$ for a collection of disconnected sets

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the nonlocal interaction of the function $Z^2(t)$ with the function $\tilde{Z}^2(t)$ on the distance $\sim (1-c)π(t)$ for the collections of disconnected sets

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the oscillations of the function $|ζ(1/2+it)|^2$ around its mean-value; law of the almost exact equality of corresponding areas

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the quantization of the Hardy-Littlewood integral

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the tangent law for short parts of the Hardy-Littlewood integral

Mathematics – Classical Analysis and ODEs
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Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself

Mathematics – Classical Analysis and ODEs
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Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations

Mathematics – Classical Analysis and ODEs
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Jacob's ladders, Gram's sequence and some nonlinear integral equations connected with the functions $J_ν(x)$ and $|\zf|^4$

Mathematics – Classical Analysis and ODEs
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Jacob's ladders, the iterations of Jacob's ladder $φ^k_1(t)$ and asymptotic formulae for the integrals of the products ... for arbitrary fixed $n\in\mbb{N}$

Mathematics – Classical Analysis and ODEs
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