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:

The Dirichlet lambda function expands in terms of zeta functions:

Compute some special values:

Wolfram Research (2014), DirichletLambda, Wolfram Language function, https://reference.wolfram.com/language/ref/DirichletLambda.html.

Text

Wolfram Research (2014), DirichletLambda, Wolfram Language function, https://reference.wolfram.com/language/ref/DirichletLambda.html.

BibTeX

@misc{reference.wolfram_2021_dirichletlambda, author="Wolfram Research", title="{DirichletLambda}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/DirichletLambda.html}", note=[Accessed: 27-October-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_dirichletlambda, organization={Wolfram Research}, title={DirichletLambda}, year={2014}, url={https://reference.wolfram.com/language/ref/DirichletLambda.html}, note=[Accessed: 27-October-2021 ]}

CMS

Wolfram Language. 2014. "DirichletLambda." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DirichletLambda.html.

APA

Wolfram Language. (2014). DirichletLambda. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DirichletLambda.html