The elementary geometric properties of the Jacob's ladders \cite{7} lead to a class of new formulae for short parts of the Hardy-Littlewood integral. This class of formulae cannot be obtained by methods of Balasubramanian, Heath-Brown and Ivic.
Jacob's ladders and the quantization of the Hardy-Littlewood integral
Jacob's ladders and the $\tilde{Z}^2$-transformation of a polynomials in $\ln \vp_1(t)$
Jacob's ladders and infinite set of transmutations of asymptotic complete hybrid formula on level curves in Gauss' plane
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