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Reference.org
Dirichlet beta function
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the Dirichlet beta function (also known as the Catalan beta function) is a <a href="/facts/Special_function/JETSeucA">special function</a>, closely related to the <a href="/facts/Riemann_zeta_function/MnfRu7lY">Riemann zeta function</a>. It is a particular <a href="/facts/Dirichlet_L-function/my8hc6Qy">Dirichlet L-function</a>, the L-function for the alternating <a href="/facts/Dirichlet_character/jDJHEBWa">character</a> of period four. </p>