Thread: The Riemann Zeta-function

The Riemann Zeta-function yb (greek y and b lookalike symbol) is defined by y(x) = n_infinity 1/n^x used in number theory to study distribution of prime numbers,

what is the domain of this equation?

i need help with this one please.

Originally Posted by rcmango

The Riemann Zeta-function yb (greek y and b lookalike symbol) is defined by y(x) = n_infinity 1/n^x used in number theory to study distribution of prime numbers,

what is the domain of this equation?

i need help with this one please.

It depends if it are complex valued function or not.
Traditionally, the Riemann zeta function is includes complex numbers. That is where the Riemann Hypothesis comes in.

But if it is real valued, then by the p-series test, the domain is x>1.