Sphere Packing in R^8

 Sphere Packing in Lean🔗

Compiled2026-09-30T10:56:21ZProject1977628fix: use renamed Eisenstein q-expansion declarationLeanleanprover/lean4:v4.34.0-rc2VersoBlueprint4848fcaUpstream5221e02style: prefer `have`/`let` over `haveI`/`letI`, wrap an over-long lineMathlibv4.34.0-rc2@85e3a25e006c
Maryna ViazovskaSphere Packing in Lean collaborators

Contents

  1. 1. Overview
  2. 2. Sphere Packings
  3. 3. Density of Packings
  4. 4. The E8 Lattice
  5. 5. Fourier Analysis
  6. 6. Cohn-Elkies Bounds
  7. 7. Modular Forms
  8. 8. Fourier Eigenfunctions with Double Zeroes
  9. 9. Proof of the Optimal Function Inequalities
  10. Dependency Graph
  11. Blueprint Summary
  12. Blueprint Bibliography