Formula:DLMF:25.15:E8

<< Formula:DLMF:25.15:E7

formula in Dirichlet L-functions

Formula:DLMF:25.15:E9 >>

${\displaystyle{\displaystyle{\displaystyle L\left(-2n-1,\chi\right)=0\text{\quad if\quad}\chi(-1)=-1}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle n=0,1,2,\dots}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle L}}}$ : Dirichlet ${\displaystyle{\displaystyle{\displaystyle L}}}$-function : http://dlmf.nist.gov/25.15#E1

Bibliography

Equation (8), Section 25.15 of DLMF.

URL links

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<< Formula:DLMF:25.15:E7

formula in Dirichlet L-functions

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