If the θ=∞ conjecture holds for automorphic L-functions, then they are non-vanishing in certain critical strip regions and families satisfy a quasi-Riemann Hypothesis.
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The $\theta = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions
If the θ=∞ conjecture holds for automorphic L-functions, then they are non-vanishing in certain critical strip regions and families satisfy a quasi-Riemann Hypothesis.