Mean value formulas on sublattices and flags of the random lattice
type: Item
instance of: scholarly article
title: Mean value formulas on sublattices and flags of the random lattice
zbMATH Open document ID: 1506.11098
author: Seungki Kim
published in: Journal of Number Theory
publication date: 2022-08-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/2005.10874
review text: Siegel's integral formula and its generalizations are foundational results in the geometry of numbers. The author gives three major generalizations of these results from the counting of lattice vectors to that of sublattices and flags. The asymptotic behavior of these quantities is also studied.
reviewed by: Steven T. Dougherty
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 11H60
Mathematics Subject Classification ID: 11Y16
zbMATH DE Number: 7575701
zbMATH Keywords: geometry of numbers
zbMATH Keywords: lattice-point counting
zbMATH Keywords: random lattice
zbMATH Keywords: points on flag varieties
MaRDI profile type: Publication
OpenAlex ID: W4300067485
arXiv ID: 2005.10874
Wikidata QID: Q113870305
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DOI: 10.1016/J.JNT.2022.03.013
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description: scientific article