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

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

2010-05-12

arxiv.org/abs/1005.2052v2

Mathematics

Classical Analysis and ODEs

Scientific paper

It is proved in this paper that there is a nonlocal asymptotic splitting (in
the integral sense) of the function $Z^4(t)$ into two factors. The
corresponding formula cannot be obtained in the known theories of
Balasubramanian, Heath-Brown and Ivic.

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