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RT Timothy Gowers @wtgowers:加性组合学又一重大难题被攻克,这次是人类而非AI,但使用了与AI解决单位距离猜想相关的方法。

蒂莫西·高尔斯(Timothy Gowers)转发消息:加性组合学领域又一重大难题被攻克,这次依靠的是人类而非AI,但采用了与AI解决单位距离猜想相关的方法。Mehtaab Sawhney指出,Thomas Bloom、Will Sawin、Carl Schildkraut和Dmitrii Zhelezov在arXiv上发表了一篇引人注目的论文。他们证明存在c>0以及任意大的有限实数集A,使得max(|A+A|,|AA|)≤|A|^{2-c},从而推翻了一个著名的猜想。

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