Source: wikibot/multiple-zeta-function
= Multiple zeta function
{wiki=Multiple_zeta_function}
The multiple zeta function is a generalization of the classical Riemann zeta function, which plays a significant role in number theory and mathematical analysis. The classical Riemann zeta function is defined for complex numbers \\( s \\) with real part greater than 1 as: \\\[ \\zeta(s) = \\sum_\{n=1\}^\{\\infty\} \\frac\{1\}\{n^s\}. \\\] The multiple zeta function extends this idea to multiple variables.