Height growth on semisimple groups
classification
🧮 math.NT
keywords
functiongroupsgrowthheightsemisimpleasymptoticasymptoticsball
read the original abstract
A condition is given, under which a general lattice point counting function is asymptotic to the corresponding ball volume growth function. This is then used to give height asymptotics in the style of the Batyrev-Manin Conjecture for certain intrinsically defined heights on semisimple groups.
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