Multiple zeta functions constitute a family of complex-valued functions defined by nested series of the form ζ(s₁,s₂,…,sₖ)=∑_{n₁>n₂>⋯>nₖ>0} n₁^{-s₁} n₂^{-s₂}⋯nₖ^{-sₖ}, where the arguments sᵢ are ...

Zeta functions serve as a powerful analytic tool to capture the distribution of algebraic substructures, generalising the classical Riemann and Dedekind frameworks to settings such as groups, rings ...