Real and complex analysis·OpenAI Math·Result 086
An L3 bound for the trilinear Hilbert transform
One of the 372 results in OpenAI's public mathematics catalogue, filed under real and complex analysis: 1 preprint, the latest dated 5 October 2026. This page quotes OpenAI's own summary of the claim, links the paper and abstract, and will embed the animation.
Latest paper
An L3 bound for the trilinear Hilbert transform
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What OpenAI claims
Proves that the principal-value trilinear Hilbert transform with shifts x-t, x-2t, x-3t is bounded from L3(ℝ)3 to L1(ℝ). This resolves the L3 exponent case of the standard conjecture for slopes 1, 2, 3.
Paper
An L3 bound for the trilinear Hilbert transform
We prove that the trilinear Hilbert transform with fixed slopes 1, 2, 3 maps L3(ℝ)× L3(ℝ)× L3(ℝ) to L1(ℝ), resolving this case of the trilinear Hilbert transform conjecture.
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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