# Fungrim entry: cc6a5a

Symbol: DirichletLambda $\Lambda\!\left(s, \chi\right)$ Completed Dirichlet L-function
The completed Dirichlet L-function is an entire function of $s$. It is defined by b788a1 and taking the limiting value at the exceptional points $s$ where a pole appears in one of the constituent factors.
In the literature, this function is sometimes multiplied by a different constant factor (depending on $\chi$ but constant with respect to $s$ ).
Definitions:
Fungrim symbol Notation Short description
DirichletLambda$\Lambda\!\left(s, \chi\right)$ Completed Dirichlet L-function
Source code for this entry:
Entry(ID("cc6a5a"),
SymbolDefinition(DirichletLambda, DirichletLambda(s, chi), "Completed Dirichlet L-function"),
Description("The completed Dirichlet L-function is an entire function of", s, ".", "It is defined by", EntryReference("b788a1"), "and taking the limiting value at the exceptional points", s, "where a pole appears in one of the constituent factors."),
Description("In the literature, this function is sometimes multiplied by a different constant factor (depending on", chi, "but constant with respect to", s, ")."))

## Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2020-08-27 09:56:25.682319 UTC