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    math-riemann-zeta

    1.0.1 • Public • Published

    Riemann Zeta Function

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    Riemann zeta function.

    The Riemann zeta function is the analytic continuation of the infinite series

    Riemann zeta function

    where s is a complex variable equal to σ + ti. The series is only convergent when the real part of s, σ, is greater than 1.

    Installation

    $ npm install math-riemann-zeta

    Usage

    var zeta = require( 'math-riemann-zeta' );

    zeta( s )

    Evaluates the Riemann zeta function as a function of a real variable s (i.e., t = 0).

    var v = zeta( 1.1 );
    // returns ~10.584
     
    = zeta( -4 );
    // returns 0
     
    = zeta( 70 );
    // returns 1
     
    = zeta( 0.5 );
    // returns ~-1.46
     
    = zeta( 1.0 ); // pole
    // returns NaN
     
    = zeta( NaN );
    // returns NaN

    Examples

    var linspace = require( 'compute-linspace' );
    var zeta = require( 'math-riemann-zeta' );
     
    var s = linspace( -50, 50, 200 );
    var v;
    var i;
     
    for ( i = 0; i < s.length; i++ ) {
        v = zeta( s[ i ] );
        console.log( 's: %d, ζ(s): %d', s[ i ], v );
    }

    To run the example code from the top-level application directory,

    $ node ./examples/index.js

    Tests

    Unit

    This repository uses tape for unit tests. To run the tests, execute the following command in the top-level application directory:

    $ make test

    All new feature development should have corresponding unit tests to validate correct functionality.

    Test Coverage

    This repository uses Istanbul as its code coverage tool. To generate a test coverage report, execute the following command in the top-level application directory:

    $ make test-cov

    Istanbul creates a ./reports/coverage directory. To access an HTML version of the report,

    $ make view-cov

    Browser Support

    This repository uses Testling for browser testing. To run the tests in a (headless) local web browser, execute the following command in the top-level application directory:

    $ make test-browsers

    To view the tests in a local web browser,

    $ make view-browser-tests

    License

    MIT license.

    Copyright

    Copyright © 2016. The Compute.io Authors.

    Install

    npm i math-riemann-zeta

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    Version

    1.0.1

    License

    MIT

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