A prime geodesic theorem for SL(4)

Anton Deitmar; Mark Pavey

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A prime geodesic theorem for SL(4)

Anton Deitmar·Mark Pavey

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Abstract

A prime geodesic theorem is proven for singular geodesics in quotients of SL(4). This is a case where regularity assumptions of previous papers fail. As a consequence, the analysis becomes much more involved. For applications in number theory (class number asymptotics) it is, however, necessary to consider this case, too.

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Anton Deitmar, Mark Pavey. 2006-05-02. A prime geodesic theorem for SL(4). https://arxiv.org/abs/math/0605048

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