William D. Banks
Published 2023-09-07Version 1
For each primitive Dirichlet character $\chi$, a hypothesis ${\rm GRH}^\dagger[\chi]$ is formulated in terms of zeros of the associated $L$-function $L(s,\chi)$. It is shown that for any such character, ${\rm GRH}^\dagger[\chi]$ is equivalent to the Generalized Riemann Hypothesis.
On relations equivalent to the generalized Riemann hypothesis for the Selberg class
Two estimates on the zeros of the first derivative of Dirichlet $L$-functions under the generalized Riemann hypothesis
A note on entire $L$-functions
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