Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself

Abstract

It is proved that some set of the values of $|ζ(σ_0+i\vp_1(t))|^2$ on every fixed line $\sigma ={\sigma }_0>1$ generates a corresponding set of the values of $|\zeta (\frac{1}{2}+it){|}^2$ on the critical line $\sigma =\frac{1}{2}$ (i.e. we have an analogue of the Faraday law).

References in corpus (1)

• Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral