DirichletEta Method (s)

Computes the Dirichlet eta function.

Declaration Syntax

Visual Basic

Visual C++

public static double DirichletEta(
	double s
)

Public Shared Function DirichletEta ( _
	s As Double _
) As Double

public:
static double DirichletEta(
	double s
)

static member DirichletEta : 
        s:float -> float

Parameters

s (Double): The argument, which must be non-negative.

Return Value

The value of η(s).

Remarks

The Dirichlet eta function is the sum of the sth inverse power of the natural numbers, with alternating signs. It can be related to the Riemann ζ function.

Exceptions

Exception	Condition
ArgumentOutOfRangeException	s is negative.