On the functional equations of dynamical theta functions I.
- Juhl, Andreas
2010 Mathematics Subject Classification
- 11F72 58F06 58F17 58F18 58F20
- Selberg zeta function, functional equation, dynamical theta function, duality
The twisted geodesic flow of compact locally symmetric spaces of rank one gives rise to a series of meromorphic functions on the complex plane satisfying simple functional equations. These results are discussed as part of geometric quantization and index theory.