The sphere packing problem in dimension 8 has been formally verified in the Lean theorem prover, with the final stages completed by the AI 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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math.MG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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A Milestone in Formalization: The Sphere Packing Problem in Dimension 8
The sphere packing problem in dimension 8 has been formally verified in the Lean theorem prover, with the final stages completed by the AI model Gauss.