A fundamental property of the Riemann zeta function is its functional equation : Among other things , this provides an explicit form for the analytic continuation of the zeta function to a meromorphic function in the complex plane and leads to an immediate proof that the zeta function has infinitely many so-called `` trivial '' zeros on the real line .
A property of the Riemann zeta function is its functional equation : Bernhard Riemann found a relation between these two functions .