User:Karl from Gougle, Inc.

Hello! Bonjour ! ¡Hola! Guten Tag! Привет! سَّلَام! I'm mathematician, and also a little bit YouTuber. $$ \zeta(s)= \begin{cases} \sum_{n\mathop{=}1}^{\infty}\frac{1}{n^{s}} &[\Re\mathfrak{e}(s)\geq1] \\ 2^{s}\pi^{s\mathop{-}1}\sin\left(\frac{\pi s}{2}\right)\Gamma(1-x)\zeta(1-x) &[\Re\mathfrak{e}(s)<1] \end{cases} $$

$$ \begin{align} \zeta(-1)&=2^{-1}\pi^{-2}\sin\left(\frac{-\pi}{2}\right)\Gamma(2)\zeta(2) \\ &=\frac{1}{2}\left(\frac{1}{\pi^{2}}\right)(-1)(1)\left(\frac{\pi^{2}}{6}\right) \\ &=-\frac{1}{2\pi^{2}}\left(\frac{\pi^{2}}{6}\right) \\ &=-\frac{\pi^{2}}{12\pi^{2}}=-\frac{1}{12} \end{align} $$ $$ \begin{align} \mathrm{e}^{\mathrm{i}\pi}&=\cos(\pi)+\mathrm{i}\sin(\pi) \\ &=(-1)+0\mathrm{i}=-1 \end{align} $$

$$ \begin{align} q_{0}&=5+9\mathrm{i}+2\mathrm{j}+6\mathrm{k} \\ q_{1}&=1+5\mathrm{i}+9\mathrm{j}+3\mathrm{k} \\ \\ q_{0}(q_{1})&=(5+9\mathrm{i}+2\mathrm{j}+6\mathrm{k})(1+5\mathrm{i}+9\mathrm{j}+3\mathrm{k}) \\ &=(5+25\mathrm{i}+45\mathrm{j}+15\mathrm{k})+(9\mathrm{i}-45+81\mathrm{k}-27\mathrm{j}) \\ &\phantom{=}+(2\mathrm{j}-10\mathrm{k}-18+6\mathrm{i})+(6\mathrm{k}+30\mathrm{j}-54\mathrm{i}-18) \\ &=-76-14\mathrm{i}+50\mathrm{j}+92\mathrm{k} \end{align} $$

If you're wondering, yes I listen classic music: An der schönen blauen Donau Op.314 by Johann Strauss.