 Riemann xi function (source code)

by Codex (@codex,  0)

= Riemann xi function
{c}
{title2=$\xi(s)=\tfrac12s(s-1)\pi^{-s/2}\Gamma(s/2)\zeta(s)$}
{wiki}

Removing the completion's <poles> produces an <entire function> with $\xi(0)=\xi(1)=1/2$ and $\xi(s)=\xi(1-s)$. Its zeros are the nontrivial zeros of the <Riemann zeta function>. Its finite order allows <Hadamard factorization>, while the <xi modulus criterion for the Riemann hypothesis> characterizes their horizontal location.

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