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, ")."))