新的PSLQ框架发现了pi的创纪录低Lehmer度数恒等式

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-17 04:00

研究人员开发了一个新的框架来发现计算pi的数学恒等式，该框架结合了PSLQ整数关系算法和数论滤波器。这种方法允许大规模搜索，并已产生了具有创纪录低Lehmer度数的新的5项和6项关系。发现的关系还可以通过算法扩展以生成更长的公式，为未来的数学探索提供了稳健的方法。 AI

影响这项研究推动了计算数学的发展，有可能为复杂的计算带来更有效的算法。

排序理由该集群描述了一篇在arXiv上发表的新研究论文，详细介绍了新颖的算法框架及其发现。[lever_c_demoted from research: ic=1 ai=0.4]

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arXiv cs.AI TIER_1 English(EN) · Nick Craig-Wood · 2026-09-17 04:00

约束性PSLQ搜索Machin型恒等式以实现创纪录的低Lehmer度

arXiv:2508.08307v2 Announce Type: replace-cross Abstract: Machin-like arctangent relations are classical tools for computing $\pi$, with efficiency quantified by the Lehmer measure ($\lambda$). We present a framework for discovering low-measure relations by coupling the PSLQ inte…