Mean value formulas on sublattices and flags of the random lattice
Number Theory
2022-03-24 v3
Abstract
We present the extensions of the Siegel integral formula ([10]), 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.
Cite
@article{arxiv.2005.10874,
title = {Mean value formulas on sublattices and flags of the random lattice},
author = {Seungki Kim},
journal= {arXiv preprint arXiv:2005.10874},
year = {2022}
}