generalized Riemann hypothesis
GeneralizedRiemannHypothesis
2003-08-28 18:12:04
2003-08-29 16:40:35
Definition
Dedekind zeta function
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This generalization of the Riemann hypothesis to arbitrary Dedekind zeta functions \PMlinkescapetext{states} that for any number field $K$, the only zeroes $s$ of the Dedekind zeta function $\zeta_K(s)$ that lie in the strip $0\leq\Re s\leq 1$ \PMlinkescapetext{satisfy} $\Re s=\frac{1}{2}$.