Mean value formulas on sublattices and flags of the random lattice (Q2167502)

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Mean value formulas on sublattices and flags of the random lattice
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    Mean value formulas on sublattices and flags of the random lattice (English)
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    25 August 2022
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    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.
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    geometry of numbers
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    lattice-point counting
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    random lattice
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    points on flag varieties
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