Barnes zeta function

The Barnes zeta function is an extension of the classical Riemann zeta function and is defined in the context of number theory and special functions. It is primarily associated with the theory of multiple zeta values and has connections to various areas of mathematics, including algebra, topology, and mathematical physics. The Barnes zeta function, denoted as \( \zeta_B(s, a) \), depends on two parameters: \( s \) and \( a \).