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DirichletL

DirichletL[k, j, s]
gives the Dirichlet L-function

for the Dirichlet character

with modulus k and index j.

MORE INFORMATION

Mathematical function, suitable for both symbolic and numerical manipulation.

For , , where is a Dirichlet character.

The possible Dirichlet characters modulo k are specified by an index j, and given by DirichletCharacter[k, j, n].

DirichletL[k, j, s] can be evaluated to arbitrary numerical precision for integer k and j, and arbitrary complex s.

DirichletL automatically threads over lists.

Basic Examples (2)

A plot along the line 1+

:

Applications (4)

Neat Examples (1)

DirichletCharacter Zeta RamanujanTauL

Demonstrations with DirichletL (Wolfram Demonstrations Project)

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