\ZetaThe Greek letter Zeta, represented as \Zeta in LaTeX, is used in various mathematical and scientific contexts. It is often used to denote the Riemann zeta function, which is a function of great significance in number theory and mathematical analysis. The uppercase Zeta (\Zeta) is less commonly used than the lowercase zeta (\zeta), but it can appear in contexts such as denoting certain types of matrices or variables in physics.
The Riemann zeta function, a key function in number theory.
\Zeta(s) = 1 + \frac{1}{2^s} + \frac{1}{3^s} + \frac{1}{4^s} + \cdotsA matrix representation using the uppercase Zeta.
\Zeta_{ij} = \begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}An integral expression where Zeta is used as a variable.
\Zeta = \int_0^\infty e^{-x^2} \, dx