java.lang.Object
- org.apfloat.ZetaHelper

```
class ZetaHelper
extends java.lang.Object
```
Helper class for the Riemann zeta function.

Since:

1.11.0

Version:

1.14.0

Field Summary

Fields
Modifier and Type	Field	Description
`private Apcomplex`	`gammaS`
`private Apcomplex`	`i`
`private Apcomplex`	`iTwoPiN`
`private Apfloat`	`NN`
`private Apint`	`one`
`private Apcomplex`	`oneS`
`private Apfloat`	`pi`
`private int`	`radix`
`private Apcomplex`	`s1`
`private Apint`	`two`
`private long`	`v`
`private long`	`workingPrecision`

Constructor Summary

Constructors
Constructor Description

ZetaHelper()

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`static Apcomplex`	`alternatingSum(Apcomplex s)`
`private static Apcomplex`	`chi(Apcomplex s)`
`private Apcomplex`	`D(double N, Apcomplex s)`
`private Apcomplex`	`E1(long M, Apcomplex s)`
`private Apcomplex`	`E1(Apcomplex m, Apcomplex s)`
`private static long`	`findRoot(Apcomplex s, double t, int radix, long workingPrecision)`
`private Apcomplex`	`Q(long v, Apfloat m)`
`static Apcomplex`	`zeta(Apcomplex s)`
`Apcomplex`	`zetafast(Apcomplex s)`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

radix
```
private int radix
```

workingPrecision
```
private long workingPrecision
```

v
```
private long v
```

NN
```
private Apfloat NN
```

one
```
private Apint one
```

two
```
private Apint two
```

pi
```
private Apfloat pi
```

i
```
private Apcomplex i
```

oneS
```
private Apcomplex oneS
```

s1
```
private Apcomplex s1
```

iTwoPiN
```
private Apcomplex iTwoPiN
```

gammaS
```
private Apcomplex gammaS
```

Constructor Detail
- ZetaHelper
```
ZetaHelper()
```

Method Detail

zeta

public static Apcomplex zeta(Apcomplex s)

chi

private static Apcomplex chi(Apcomplex s)

alternatingSum

public static Apcomplex alternatingSum(Apcomplex s)

zetafast

public Apcomplex zetafast(Apcomplex s)

findRoot

private static long findRoot(Apcomplex s,
                             double t,
                             int radix,
                             long workingPrecision)

D

private Apcomplex D(double N,
                    Apcomplex s)

Q

private Apcomplex Q(long v,
                    Apfloat m)

E1

private Apcomplex E1(long M,
                     Apcomplex s)

E1

private Apcomplex E1(Apcomplex m,
                     Apcomplex s)

Class ZetaHelper

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

radix

workingPrecision

v

NN

one

two

pi

i

oneS

s1

iTwoPiN

gammaS

Constructor Detail

ZetaHelper

Method Detail

zeta

chi

alternatingSum

zetafast

findRoot

D

Q

E1

E1