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Zeta function universality
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the universality of <a href="/facts/List_of_zeta_functions/lf43angF">zeta functions</a> is the remarkable ability of the <a href="/facts/Riemann_zeta_function/MnfRu7lY">Riemann zeta function</a> and other similar functions (such as the <a href="/facts/Dirichlet_L-function/my8hc6Qy">Dirichlet L-functions</a>) to approximate arbitrary non-vanishing <a href="/facts/Holomorphic_function/kVzthtEf">holomorphic functions</a> arbitrarily well. </p><p>The universality of the Riemann zeta function was first proven by Sergei Mikhailovitch Voronin [ru] in 1975 and is sometimes known as Voronin's universality theorem. </p>