On Baxter Q-operators And Their Arithmetic Implications 1

@inproceedings{Gerasimov2008OnBQ,
  title={On Baxter Q-operators And Their Arithmetic Implications 1},
  author={A. T. Gerasimov and S. Oblezin},
  year={2008}
}
We consider Baxter Q-operators for various versions of quantum affine Toda chain. The interpretation of eigenvalues of the Baxter operators as local Archimedean Lfunctions proposed recently is generalized to affine Lie algebras. We also propose a simple generalization of Baxter operators and local L-functions compatible with this identification. This gives a connection of the Baxter Q-operators for Toda chains with an Archimedean version of Polya-Hilbert operator proposed by Berry-Kitting. We… CONTINUE READING