In mathematics, the Zfunction is a function used for studying the Riemann zeta function along the critical line where the argument is one-half. It is also called the Riemann–Siegel Zfunction, the Riemann–Siegel zeta function, the Hardy function, the Hardy Zfunction and the Hardy zeta function.
MATHEMATICAL TRANSFORM WHICH CONVERTS SIGNALS FROM THE TIME DOMAIN TO THE FREQUENCY DOMAIN
Z transform; Laurent transform; Bilateral Z-transform; Bilateral z-transform; Z Transform; Z-domain; Z-transformation
In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency-domain (z-domain or z-plane) representation.
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s} = \frac{1}{1^s} + \frac{1}{2^s} + \frac{1}{3^s} + \cdots for \operatorname{Re}(s) > 1 and its analytic continuation elsewhere.