Sphere Packing in R^8

 Sphere Packing in Lean🔗

Compiled2026-05-06T13:30:08ZProject3aa1a4dRestore Lee citations in blueprint proseLeanleanprover/lean4:v4.29.0VersoBlueprintfa52fbbUpstream4e63ee4refactor(E8): tidy up basic E8 lattice file (#413)Mathlibv4.29.0@8a178386ffc0
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