# Jacob&#x27;s ladders and the nonlocal interaction of the function $|ζ1-2 it|$ with the function $argζ1-2 it$ on the distance $sim1-cπt$ - Mathematics > Classical Analysis and ODEs

Jacob&#x27;s ladders and the nonlocal interaction of the function $|ζ1-2 it|$ with the function $argζ1-2 it$ on the distance $sim1-cπt$ - Mathematics > Classical Analysis and ODEs - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: In this paper we obtain a new-type formula - \emph{a mixed formula} - whichconnects the functions $|\zeta1-2+it|$ and $\arg\zeta1-2+it$. This formulacannot be obtained in the classical theory of A. Selberg, and, all the less, inthe theories of Balasubramanian, Heath-Brown and Ivic.

Autor: Jan Moser

Fuente: https://arxiv.org/