DirichletLambda

DirichletLambda[s]

gives the Dirichlet lambda function .

Details

  • 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.

Examples

Basic Examples  (3)

Plot on the real axis:

In[1]:=
Click for copyable input
Out[1]=

The Dirichlet lambda function expands in terms of zeta functions:

In[1]:=
Click for copyable input
Out[1]=

Compute some special values:

In[1]:=
Click for copyable input
Out[1]=

See Also

Zeta  DirichletL  DirichletEta

Introduced in 2014
(10.0)