On the distribution of angles between increasingly many short lattice vectors

DOI10.1016/j.jnt.2022.02.001OpenAlexW4287629934WikidataQ114156577 ScholiaQ114156577MaRDI QIDQ2161339

Kristian Holm

Publication date: 4 August 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14410

zbMATH Keywords

Poisson processspace of latticesRogers' integration formula

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• On the distribution of lengths of short vectors in a random lattice
• On the Poisson distribution of lengths of lattice vectors in a random lattice
• On the generalized circle problem for a random lattice in large dimension
• Mean values over the space of lattices
• On the distribution of angles between the N shortest vectors in a random lattice
• The Number of Lattice Points in a Set
• Random Lattice Vectors in a Set of Size O(n)
• The moments of the number of points of a lattice in a bounded set
• A basic course in probability theory

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