Dirichlet Lambda Function

Author

Eric W. Weisstein
May 20, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/DirichletLambdaFunction.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/DirichletLambdaFunction.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Plots

<<Utilities`Plot`
<<Utilities`Typesetting`

Real Axis

PlotDiscontinuous[λ[x],{x,-11,1,11},
VerticalAsymptotes->{1},
AxesLabel->TraditionalForm/@{x,λ[x]},PlotRange->{Automatic,{-5,5}}]

Complex Plane

ComplexPlot3D[DirichletLambda[z],{z,-10,10},PlotPoints->200]//Timing

ComplexContourPlot[DirichletLambda[z],{z,-5,5}]//Timing