Plot of the <a href="https://en.wikipedia.org/wiki/Riemann_zeta_function" class="extiw" title="en:Riemann zeta function">Riemann zeta function</a> along the critical line <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y(x)=\zeta (1/2+ix)}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>ζ<!-- ζ --></mi><mo stretchy="false">(</mo><mn>1</mn><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mn>2</mn><mo>+</mo><mi>i</mi><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle y(x)=\zeta (1/2+ix)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ab5df725a5a7143d548aa8ec6d1a8b206fa4d3a3" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:18.757ex; height:2.843ex;" alt="{\displaystyle y(x)=\zeta (1/2+ix)}"></span> in the interval [-2, 30]
<a href="//commons.wikimedia.org/wiki/User:Geek3" title="User:Geek3">Geek3</a>
CC BY 3.0
<span class="int-own-work" lang="en">Own work</span>