A prime Geodesic Theorem for SL3(Z)
classification
🧮 math.NT
keywords
geodesicprimetheoremgrouparithmeticcartancountingfirst
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We show a Prime Geodesic Theorem for the group SL3(Z), counting those geodesics whose lifts lie in the split Cartan subgroup. This is the first arithmetic Prime Geodesic Theorem of higher rank for a non-cocompact group.
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