Viazovska's optimal sphere packing theorem in dimension 8 has been fully formalized in Lean, with the final stages completed by Math, Inc.'s autoformalization model Gauss.
Algebraic proof of modular form inequalities for optimal sphere packings
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abstract
We give algebraic proofs of Viazovska and Cohn-Kumar-Miller-Radchenko-Viazovska's modular form inequalities for 8 and 24-dimensional optimal sphere packings.
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Progress in Formalizing Sphere Packing in Dimension 8
Viazovska's optimal sphere packing theorem in dimension 8 has been fully formalized in Lean, with the final stages completed by Math, Inc.'s autoformalization model Gauss.