Communication engineers are accustomed to the duality betweeen the time domain analysis and the frequency domain analysis. Hence, I believe it will appropriate to change the complex "s" and real "t" in the Laplace transform to complex "iq" and complex "tau" respctively. I use this modified transform in the analysis of Riemann zeta function.
Ok, nice compilation. But the representation you give for Zeta is only konvergent for Re(s)>1 so you cannot have trivial zeros in this representation ;-). You should have given the analytic continuation for the Zeta function.
MrYouMath 8 hours ago in playlist Uploaded videos