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New PSLQ framework discovers record-low Lehmer measure identities for pi

By PulseAugur Editorial · [1 sources] ·

Researchers have developed a new framework to discover mathematical identities for computing pi, utilizing the PSLQ integer-relation algorithm combined with number-theoretic filters. This approach allows for large-scale searches and has yielded new 5 and 6-term relations with record-low Lehmer measures. The discovered relations can also be extended algorithmically to generate longer formulae, providing a robust method for future mathematical explorations. AI

IMPACT This research advances computational mathematics, potentially enabling more efficient algorithms for complex calculations.

RANK_REASON The cluster describes a new research paper published on arXiv detailing a novel algorithmic framework and its findings. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New PSLQ framework discovers record-low Lehmer measure identities for pi

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The cluster describes a new research paper published on arXiv detailing a novel algorithmic framework and its findings. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Nick Craig-Wood ·

    Constrained PSLQ Search for Machin-like Identities Achieving Record-Low Lehmer Measures

    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…

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