Real and complex analysis·OpenAI Math·Result 078
The three-dimensional Bochner–Riesz conjecture
One of the 372 results in OpenAI's public mathematics catalogue, filed under real and complex analysis: 1 preprint, the latest dated 24 September 2026. This page quotes OpenAI's own summary of the claim, links the paper and abstract, and will embed the animation.
Latest paper
Bochner–Riesz multipliers in three dimensions
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What OpenAI claims
Resolves the three-dimensional Bochner–Riesz conjecture in its strict range: the Bochner–Riesz multipliers of order δ are bounded on Lp(ℝ3) for every 1 ≤ p ≤ ∞ whenever δ > max {3|1/p-1/2|-1/2,0}.
Paper
Bochner–Riesz multipliers in three dimensions
We prove the three-dimensional Bochner–Riesz conjecture in its strict-order formulation. The main result is boundedness of the Bochner–Riesz multipliers on L3(ℝ3) for every positive order. Interpolation and duality then give the full conjectured strict range.
Status
Preprint. The paper has not been independently reviewed. Treat the result as OpenAI's claim until other mathematicians have checked it. If a video exists, it illustrates the statement; it is not the proof.
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