maths.liouville_lambda
======================

.. py:module:: maths.liouville_lambda

.. autoapi-nested-parse::

   == Liouville Lambda Function ==
   The Liouville Lambda function, denoted by λ(n)
   and λ(n) is 1 if n is the product of an even number of prime numbers,
   and -1 if it is the product of an odd number of primes.

   https://en.wikipedia.org/wiki/Liouville_function



Functions
---------

.. autoapisummary::

   maths.liouville_lambda.liouville_lambda


Module Contents
---------------

.. py:function:: liouville_lambda(number: int) -> int

   This functions takes an integer number as input.
   returns 1 if n has even number of prime factors and -1 otherwise.
   >>> liouville_lambda(10)
   1
   >>> liouville_lambda(11)
   -1
   >>> liouville_lambda(0)
   Traceback (most recent call last):
       ...
   ValueError: Input must be a positive integer
   >>> liouville_lambda(-1)
   Traceback (most recent call last):
       ...
   ValueError: Input must be a positive integer
   >>> liouville_lambda(11.0)
   Traceback (most recent call last):
       ...
   TypeError: Input value of [number=11.0] must be an integer