.. _sphx_glr_api_gallery_special_functions_zeta:

Riemann zeta function
---------------------

The zeta function, its analytic continuation, and Euler's product over primes.


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    <div class="sphx-glr-thumbcontainer" tooltip="Plots zeta(s) on the real line, including its analytic continuation to s &lt; 1 with trivial zeros at the negative even integers, and shows Euler&#x27;s product over primes converging to zeta(2) = pi^2/6.">

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  .. image:: /api/gallery/special_functions/zeta/images/thumb/sphx_glr_plot_01_riemann_zeta_thumb.png
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  :doc:`/api/gallery/special_functions/zeta/plot_01_riemann_zeta`

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      <div class="sphx-glr-thumbnail-title">The Riemann zeta function and Euler's product</div>
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    </div>


.. toctree::
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   /api/gallery/special_functions/zeta/plot_01_riemann_zeta