WIAS Preprint No. 64, (1993)

On the functional equations of dynamical theta functions I.



Authors

  • Juhl, Andreas
    ORCID: 0000-0002-0097-9760

2010 Mathematics Subject Classification

  • 11F72 58F06 58F17 58F18 58F20

Keywords

  • Selberg zeta function, functional equation, dynamical theta function, duality

DOI

10.20347/WIAS.PREPRINT.64

Abstract

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.

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