Xi Reflection Formula

Click on the image for a detailed proof

\xi(s)=\xi(1-s)

The Reflection Formula using the Xi Function is one of the fundamental results proven by Riemann in his original article.

Its relevance mainly derives from the context in which the function was first defined, to appreciate it, take a look at our lessons regarding Riemann’s original article.

Be aware that this demonstration relies heavily on the First Functional Equation.

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Didn’t find what you were looking for?  Keep looking through all our formulas regarding the Riemann Zeta Function!