👉 In mathematics, a zeta function is an important class of functions that are defined in terms of Dirichlet series. A zeta function is said to be "xeromorphic" if it can be expressed as a formal sum of products of its zeros and poles, where the product includes all of the zeros and poles of the zeta function. For example, consider the Riemann zeta function: f(z) = ζ(1 - 2\zeta(z)),