If the L-function $L(s)$ satisfies the functional equation
\[
\Lambda(s) := N^{s/2}
\prod_{j=1}^J \Gamma_{\mathbb R}(s+\mu_j) \prod_{k=1}^K \Gamma_{\mathbb C}(s+\nu_k)
\cdot L(s) = \varepsilon \overline{\Lambda}(1-s),
\]
then $\Lambda(s)$ is called the **completed L-function**.

The completed L-function is the product of the L-function and its gamma factors.

**Authors:**

**Knowl status:**

- Review status: beta
- Last edited by David Farmer on 2019-05-14 07:38:22

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**History:**(expand/hide all)

- 2019-05-14 07:38:22 by David Farmer
- 2019-05-14 07:11:41 by David Farmer
- 2019-05-14 07:10:58 by David Farmer

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