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BUILT-IN MATHEMATICA SYMBOL
DirichletL
DirichletL[k, j, s]
gives the Dirichlet L-function 
for the Dirichlet character 
with modulus k and index j.
Details
- 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.
New in 7
