Higher moment formulae and limiting distributions of lattice points

Published 1 Nov 2021 in math.NT and math.PR | (2111.00848v4)

Abstract: We prove functional limit theorems for lattice point counting for affine and congruence lattices using the method of moments. Our main tools are higher moment formulae for Siegel transforms on the corresponding homogeneous spaces, which we believe to be of independent interest.

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