Abstract
In this chapter we shall explain how to use the Selberg trace formula to relate the study of the spectrum of a Fuchsian group associated with a quaternion division algebra to that of congruence covers of the modular surface.
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Notes
- 1.
We shall not need to endow it with its natural topology.
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Bergeron, N. (2016). Jacquet-Langlands Correspondence. In: The Spectrum of Hyperbolic Surfaces. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-27666-3_8
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DOI: https://doi.org/10.1007/978-3-319-27666-3_8
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