Sphere Packing in R^8

 Sphere Packing in Lean🔗

Compiled2026-10-09T08:22:21ZProjectcabad22feat: restore source proof Lean attachmentsLeanleanprover/lean4:v4.35.0-rc4VersoBlueprintv4.35.0@ff0158b2de73Upstreamde0ce2bci: enable on all PRs, add fallbacks for tagging issues (#490)Mathlibv4.35.0-rc4@1f414401f690
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