# Lattice Counts

Tags: #projects/unstarted #projects/youtube-videos

- Baake Theorem 3: Number of sublattices and closed form for Dirichlet series
<https://arxiv.org/pdf/math/0605222.pdf>

- Zou, some other formulas and references
<https://arxiv.org/pdf/math/0610684.pdf>

- Asymptotic formula
<https://www.math.uci.edu/~nckaplan/research_files/Atanasov-Kaplan-Krakoff-Menzel-Counting_Finite_Index_Subrings_of_Zn_July28.pdf>

- Other orbifold classifications, useful background formulas. General solution in appendix!
<https://arxiv.org/pdf/1002.2981.pdf>

- AG speedrun review: <https://www2.math.upenn.edu/~siegelch/Notes/cagi.pdf>