npm package: @stdlib/constants-float64-apery
Description: Apéry's constant.
Author: The Stdlib Authors
Latest version: 0.2.3

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# APERY

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> [Apéry's constant][apery-constant].

<section class="intro">

[Apéry's constant][apery-constant] is defined as

<!-- <equation class="equation" label="eq:apery_constant" align="center" raw="\zeta(3) = \sum_{n=1}^\infty \frac{1}{n^3} = \lim_{n\to\infty} \biggl(\frac{1}{1^3} + \frac{1}{2^3} + \cdots + \frac{1}{n^3}\biggr)" alt="Apéry's constant"> -->

<div class="equation" align="center" data-raw-text="\zeta(3) = \sum_{n=1}^\infty \frac{1}{n^3} = \lim_{n\to\infty} \biggl(\frac{1}{1^3} + \frac{1}{2^3} + \cdots + \frac{1}{n^3}\biggr)" data-equation="eq:apery_constant">
    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@6e1cf583c4854b3d982f22f361f53a30c9f552dc/lib/node_modules/@stdlib/constants/float64/apery/docs/img/equation_apery_constant.svg" alt="Apéry's constant">
    <br>
</div>

<!-- </equation> -->

where `ζ(s)` is the [Riemann zeta function][@stdlib/math/base/special/riemann-zeta].

</section>

<!-- /.intro -->

<section class="installation">

## Installation

```bash
npm install @stdlib/constants-float64-apery
```

</section>

<section class="usage">

## Usage

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

#### APERY

[Apéry's constant][apery-constant].

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

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better example -->

<!-- eslint no-undef: "error" -->

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

console.log( APERY );
// => 1.2020569031595942
```

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

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<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/constants/float64/apery.h"
```

#### STDLIB_CONSTANT_FLOAT64_APERY

Macro for [Apéry's constant][apery-constant].

</section>

<!-- /.usage -->

<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

<!-- /.notes -->

<!-- C API usage examples. -->

<section class="examples">

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

</section>

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

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[test-url]: https://github.com/stdlib-js/constants-float64-apery/actions/workflows/test.yml?query=branch:v0.2.3

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[umd]: https://github.com/umdjs/umd
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[deno-url]: https://github.com/stdlib-js/constants-float64-apery/tree/deno
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/constants-float64-apery/main/LICENSE

[apery-constant]: https://en.wikipedia.org/wiki/Ap%C3%A9ry%27s_constant

[@stdlib/math/base/special/riemann-zeta]: https://www.npmjs.com/package/@stdlib/math-base-special-riemann-zeta

</section>

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