Z-Transform and the Fourier Transform
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Remember the Discrete Time Fourier Transform (DTFT):

.. math::
   \underline{X}(\Omega) = \sum_{n=-\infty}^{\infty} x[n] e^{-j\Omega n}

Comparing the above with the definition of the Z-transform we see that:

.. math::
   X(e^{j\Omega}) = \underline{X}(\Omega)

i.e. the Fourier transform can be found along the unit circle in the
complex domain of the Z-transform.