DirichletLambda

DirichletLambda[s]
gives the Dirichlet lambda function .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numeric manipulation.
  • For , the Dirichlet lambda function is defined as .
  • For certain special arguments, DirichletLambda automatically evaluates to exact values.
  • DirichletLambda has no branch cut discontinuities.
  • DirichletLambda can be evaluated to arbitrary numerical precision.
  • DirichletLambda automatically threads over lists.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Plot on the real axis:

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The Dirichlet lambda function expands in terms of zeta functions:

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Compute some special values:

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Introduced in 2014
(10.0)