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arxiv: 1901.07011 · v3 · pith:LGZWLLJCnew · submitted 2019-01-21 · 🧮 math.CA

A Note on the Riemann xi-Function

classification 🧮 math.CA
keywords functionnoteriemannarguedcenterscontainscriticalderivation
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This note investigates a number of integrals of and integral equations satisfied by Riemann's $\xi-$function. A different, less restrictive, derivation of one of his key identities is provided. This work centers on the critical strip and it is argued that the line $s=3/2+i t$ , e.g., contains a holographic image of this region.

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