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math.NT2016
A prime geodesic theorem for higher rank buildings
Anton Deitmar, Rupert McCallum
We prove a prime geodesic theorem for compact quotients of affine buildings and apply it to get class number asymptotics for global fields of positive characteristic.
math.NT2016
Height growth on semisimple groups
Anton Deitmar, Rupert McCallum
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 asympto…