The prime geodesic theorem for higher rank spaces

Anton Deitmar

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The prime geodesic theorem for higher rank spaces

Anton Deitmar

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Abstract

The prime geodesic theorem for regular geodesics in a higher rank locally symmetric space is proved. An application to class numbers is given. The proof relies on a Lefschetz formula that is based on work of Andreas Juhl.

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Anton Deitmar. 2005-09-29. The prime geodesic theorem for higher rank spaces. https://arxiv.org/abs/math/0208206

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