https://github.com/rauljordan/zeta.js

Implementation of the Riemann Zeta Function packaged as an NPM module
https://github.com/rauljordan/zeta.js

Last synced: 8 days ago
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Implementation of the Riemann Zeta Function packaged as an NPM module

• Host: GitHub
• URL: https://github.com/rauljordan/zeta.js
• Owner: rauljordan
• License: other
• Created: 2014-12-27T04:17:14.000Z (almost 10 years ago)
• Default Branch: master
• Last Pushed: 2015-01-01T19:08:27.000Z (almost 10 years ago)
• Last Synced: 2024-10-14T04:48:46.817Z (about 1 month ago)
• Language: JavaScript
• Size: 418 KB
• Stars: 0
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# zeta

[Riemann Zeta Function](http://en.wikipedia.org/wiki/Riemann_zeta_function)

in javascript with a 1.3% accuracy error

[![browser support](http://ci.testling.com/rauljordan/zeta.js.png)](http://ci.testling.com/rauljordan/zeta.js)

[![Build Status](https://travis-ci.org/rauljordan/zeta.js.svg?branch=master)](https://travis-ci.org/rauljordan/zeta.js)

# example

```

> var zeta = require('riemann-zeta')

> zeta(0)

-0.5

> zeta(10)

1.00071

```

# methods

var zeta = require('riemann-zeta')

## zeta(s)

Return the riemann zeta function over `s`.

# install

With [npm](http://npmjs.org) do:

```

npm install riemann-zeta

```

# license

MIT

=======

# credits

The approximation follows from the Euler-Maclaurin sum formula (Ralston and Rabinowitz, 2001 by not considering the impact of Bernoulli numbers on the 

calculation and taking the case when the lower limit of integration

is specifically 2. Then, the approximation follows and works well enough

for modern browsers and mathematical applications.