The Extended Riemann Hypothesis(ERH) is the assertion that the nontrivial zeros of the Dedekind zeta function of any algebraic number field lie on the critical line.

Note that ERH includes RH because the Riemann zeta function is the Dedekind zeta function of the rationals.

[[more needs to be said here and also in the section where the Dedekind zeta function is defined]]

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