The generalized Riemann hypothesis conjectures that neither the Riemann zeta function nor any Dirichlet L-series
has a zero with real part larger than 1/2. Compare with
Artin's conjecture, which deals with the poles
of certain 
-series.
Generalized Riemann Hypothesis
See also
Artin's Conjecture, Dirichlet L-Series, Extended Riemann Hypothesis, Riemann HypothesisExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Generalized Riemann Hypothesis." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeneralizedRiemannHypothesis.html