Transfer Operators and Modular Forms -- lecture 6

This is the sixth lecture of the course "Transfer Operators and Modular Forms". In this talk, we continue to study the Lewis-Zagier correspondence.

Errata to the lecture:
1. During the first several minutes, I told that $f(z)$ would be holomorphically continued along $z \in \R_+$, that is not true; we will obtain a continuation of $f(z) - z^{-2s} f(-1/z)$.
2. In the last minutes, $f(z) - z^{-2s} f(-1/z)$ is not the Mellin transform of $A(\rho)$; the formula holds up to multiplication by a factor.

Link to the previous lecture:
https://video.uni-freiburg.de/video/Transfer-Operators-and-Modular-Forms...