On the Poisson distribution of lengths of lattice vectors in a random lattice

DOI10.1007/s00209-010-0772-8zbMath1257.60002arXiv1001.3623OpenAlexW2151643617MaRDI QIDQ658347

Anders Södergren

Publication date: 12 January 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3623

Mathematics Subject Classification ID

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

Related Items (14)

On the distribution of lengths of short vectors in a random lattice ⋮ On the distribution of angles between increasingly many short lattice vectors ⋮ On the location of the zero-free half-plane of a random Epstein zeta function ⋮ Mean value formulas on sublattices and flags of the random lattice ⋮ On the universality of the Epstein zeta function ⋮ On the value distribution of the Epstein zeta function in the critical strip ⋮ On the measurement and simulation of the BKZ behavior for \(q\)-ary lattices ⋮ Concrete security from worst-case to average-case lattice reductions ⋮ Adelic Rogers integral formula ⋮ On the generalized circle problem for a random lattice in large dimension ⋮ Volumes for \(\text{SL}_N(\mathbb{R})\), the Selberg integral and random lattices ⋮ On the optimality of lattices for the Coppersmith technique ⋮ On the value distribution and moments of the Epstein zeta function to the right of the critical strip ⋮ Enhancing Goldreich, Goldwasser and Halevi's scheme with intersecting lattices

Cites Work

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• On the value distribution and moments of the Epstein zeta function to the right of the critical strip
• Correlations of eigenvalues on multi-dimensional flat tori
• Measure theory in the geometry of numbers
• Mean values over the space of lattices
• The Number of Lattice Points in a Set
• On the relation between the multidimensional moment problem and the one-dimensional moment problem.
• The moments of the number of points of a lattice in a bounded set

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