Non-trivial zero

A non-trivial zero is a zero of the analytically continued Riemann zeta function that is not one of its negative-even-integer trivial zeros.

These zeros lie in the critical strip. The Riemann Hypothesis says that every one of them lies exactly on the critical line $\operatorname{Re}(s)=1/2$.

See also: trivial zero, critical strip, critical line, Riemann Hypothesis..