• Corpus ID: 240354612

Higher moment formulae and limiting distributions of lattice points

@inproceedings{Alam2021HigherMF,
  title={Higher moment formulae and limiting distributions of lattice points},
  author={Mahbub Alam and Anish Ghosh and Jiyoung Han},
  year={2021}
}
We prove functional central 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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