09/25/2021, 02:59 AM
Very interested by your approach at solving \( b=1/2 \). It looks very much like the Kouznetsov approach--but refined slightly. Have you read Kouznetsov's book on calculating superfunctions--because you're using his notation, just curious. If you haven't it's a very good read. And definitely works very similar to what you have here.
You got me thinking about trying \( b=1/2 \) too, using infinite compositions. My solution looks similar to yours (they're not the same because the toy model I used was for a 2 pi i periodic tetration with singularities at \( \Im(s) = (2k+1) \pi \) for \( k \in \mathbb{Z} \))--but they definitely look very similar.
I hope school is going well! I'm sure, by how advanced you already are, you'll do fine!
Regards, James
You got me thinking about trying \( b=1/2 \) too, using infinite compositions. My solution looks similar to yours (they're not the same because the toy model I used was for a 2 pi i periodic tetration with singularities at \( \Im(s) = (2k+1) \pi \) for \( k \in \mathbb{Z} \))--but they definitely look very similar.
I hope school is going well! I'm sure, by how advanced you already are, you'll do fine!
Regards, James