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t is proved in this paper that there is a fine correlation between the valuesof $|\zeta(1/2+i\varphi(t)/2)|^4$ and $|\zeta(1/2+it)|^2$ which correspond totwo segments with gigantic distance each from other. This new asymptoticformula cannot be obtained in known theories of Balasubramanian, Heath-Brownand Ivic.

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