Universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function

TL;DR

This paper proves a universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function along certain lines parallel to the real axis, advancing understanding of its complex behavior.

Contribution

It establishes the universality property for these iterated integrals, a novel result in the study of the Riemann zeta-function's complex analysis.

Findings

Proves universality theorem for iterated integrals of log zeta

Demonstrates behavior on lines parallel to the real axis

Extends the understanding of zeta-function's complex properties

Abstract

In this paper, we prove the universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function on some line parallel to the real axis.