Voronin universality on the abscissa of absolute convergence

2020/08/10 by Johan Andersson, Andersson, Johan · 2 citations
Mathematics · #Analytic Number Theory Research #Algebraic Geometry and Number Theory #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2008.04268

Abstract

We prove that the Voronin universality theorem for the Riemann zeta-function extends to the line Re(s)=1 if in addition to vertical shifts we also allow scaling and adding a sufficiently large constant.

Cited by

• On the growth of the L^p norm of the Riemann zeta-function on the line Re(s)=1
• Universality of the Hurwitz zeta-function on the half plane of absolute convergence

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