Source: wikibot/dirichlet-series
= Dirichlet series
{wiki=Dirichlet_series}
A Dirichlet series is a type of infinite series of the form: \\\[ D(s) = \\sum_\{n=1\}^\\infty \\frac\{a_n\}\{n^s\} \\\] where \\( s \\) is a complex variable, \\( a_n \\) are complex coefficients, and \\( n \\) ranges over the positive integers. The series converges for certain values of the complex variable \\( s \\) depending on the properties of the coefficients \\( a_n \\).