A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond
Volume 207 / 2023
Acta Arithmetica 207 (2023), 183-200
MSC: Primary 11M06; Secondary 30D30.
DOI: 10.4064/aa220924-9-1
Published online: 28 February 2023
Abstract
We establish a connection between the uniqueness of the Riemann zeta function in terms of value distribution and the Riemann hypothesis, which leads to new uniqueness theorems, necessary and sufficient conditions for the Riemann hypothesis, and estimates on asymmetric and symmetric differences of nontrivial zeros of L-functions.
