Mean value formulas on sublattices and flags of the random lattice

Journal of Number Theory（2022）

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摘要

We present extensions of the Siegel integral formula ([13]), which counts the vectors of the random lattice, to the context of counting its sublattices and flags. Perhaps surprisingly, it turns out that many quantities of interest diverge to infinity.

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关键词

Geometry of numbers,Lattice-point counting,Random lattice,Points on flag varieties

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