Apéry's Constant

Apéry's constant.

Apéry's constant is defined as

zeta left-parenthesis 3 right-parenthesis equals sigma-summation Underscript n equals 1 Overscript normal infinity Endscripts StartFraction 1 Over n cubed EndFraction equals limit Underscript n right-arrow normal infinity Endscripts left-parenthesis StartFraction 1 Over 1 cubed EndFraction plus StartFraction 1 Over 2 cubed EndFraction plus midline-horizontal-ellipsis plus StartFraction 1 Over n cubed EndFraction right-parenthesis

where ζ(s) is the Riemann zeta function

Usage

var APERY = require( '@stdlib/constants/float64/apery' );

APERY

Apéry's constant.

var bool = ( APERY === 1.2020569031595942 );
// returns true

Examples

var APERY = require( '@stdlib/constants/float64/apery' );

console.log( APERY );
// => 1.2020569031595942
Did you find this page helpful?