Voronin universality on the abscissa of absolute convergence

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.

10 pages

References in corpus (5)

• On the zeta function on the line Re(s) = 1
• Non universality on the critical line
• On the universality of the Epstein zeta function
• Universality of the Hurwitz zeta-function on the half plane of absolute convergence
• Joint universality on the half plane of absolute convergence

Cited by in corpus (3)

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