Assertion: dirichlet series | /r/HasProperty | extended to holomorphic function
Facets:
value: with a simple pole at 1
type: OTHER
Source sentences:
text: For example, the Dirichlet series for the zeta function converges absolutely when Re s > 1, but the zeta function can be extended to a holomorphic function defined on C ∖ { 1 } {\displaystyle \mathbf {C} \setminus \{1\}} with a simple pole at 1.