A prime geodesic theorem for SL(4)

Details A prime geodesic theorem for SL(4) A prime geodesic theorem for SL(4)

2006-05-02

arxiv.org/abs/math/0605048v1

Mathematics

Differential Geometry

LATeX, 47 pages

Scientific paper

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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