Sphere Packing in R^8

 Sphere Packing in Lean🔗

Compiled2026-07-01T15:59:47ZProject516bab0Refresh Sphere Packing VBP manifest pinLeanleanprover/lean4:v4.30.0VersoBlueprintb4d3b3dUpstream139114cBump mathlib to v4.30.0; replace upstreamed modular-forms infrastructure (#414)Mathlibv4.30.0@c5ea00351c28
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