Jacob's ladders and the nonlocal interaction of the function Z2(t) with the function Z2(t) on the distance (1-c)π(t) for the collections of disconnected sets
Abstract
It is shown in this paper that there is a fine correlation of the fourth order between the functions Z2[1(t)] and Z2(t), respectively. This correlation is with respect to two collections of disconnected sets. Corresponding new asymptotic formulae cannot be obtained within known theories of Balasubramanian, Heath-Brown and Ivic.
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