Sphere Packing in R^8

 Sphere Packing in Lean🔗

Compiled2026-07-17T18:27:59ZProject4cbb43dchore: intake Sphere Packing v4.31 (#5)Leanleanprover/lean4:v4.31.0VersoBlueprint6561770Upstream1828993Bump Lean to v4.31.0 (#421)Mathlibv4.31.0@fabf563a7c95
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