Functional Equation of Riemann Zeta

In this video, I derive the functional equation of the Riemann Zeta function which is useful for analytic continuation. Featuring the Jacobi Theta function. #Calculus #Gamma #RiemannZeta #Integration #ImproperIntegral #Exponential #InfiniteSeries #InfiniteSum #JacobiTheta #Psi #Digamma #Polygamma #AnalyticContinuation #Symmetry #Substitution #FunctionalEquation #Mathematics #Math #Infinity #DrPeyam #BlackPenRedPen #FlammableMaths #3Blue1Brown #MichaelPenn #KhanAcademy #Tibees #AndrewDotson #SteveMould #VibingMaths #PolarPi Intro: (0:00) Introduction: (00:25) I 1: (08:37) Conclusion: (15:13) Outro: (21:27)