Common

Dirichlet L-function

Type of mathematical function

Dirichlet L-function

Common card · No. 357584

In mathematics, a Dirichlet L-series is a function of the form L ( s , χ ) = ∑ n = 1 ∞ χ ( n ) n s , {\displaystyle L(s,\chi )=\sum _{n=1}^{\infty }{\frac {\chi (n)}{n^{s}}},} where χ {\displaystyle \chi } is a Dirichlet character and s {\displaystyle s} a complex variable with real part greater than 1 {\displaystyle 1} . It is a special case of a Dirichlet series. By analytic continuation, it can be extended to a meromorphic function on...

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