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Fungrim entry: cc6a5a

Symbol: DirichletLambda Λ ⁣(s,χ)\Lambda\!\left(s, \chi\right) Completed Dirichlet L-function
The completed Dirichlet L-function is an entire function of ss. It is defined by b788a1 and taking the limiting value at the exceptional points ss 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 χ\chi but constant with respect to ss ).
Definitions:
Fungrim symbol Notation Short description
DirichletLambdaΛ ⁣(s,χ)\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, ")."))

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2020-08-27 09:56:25.682319 UTC