# This a great tool for writing maths! Whatever I type here goes into an interactive report ... OK we will get going and define the problem. First, let $\Lambda(1−s) = \pi^{−s/2} \Gamma{(2 s)} \zeta{(s)}$, where $\Gamma (s)$ is the gamma function and $\zeta(s)$ is the Riemann zeta function. Also, $\zeta(s)$ satisfies the simple functional relation $$ \zeta(s) = 2^s \pi^{s-1} \sin{\left(\frac{\pi s}{2}\right)} \Gamma(1-s) \zeta(1-s) $$