Statistical analysis of 250,000 Boyd Mahler-measure constants reveals p-adic valuation laws (P(v_p = r) ≈ p^{-r} for p ≥ 5) and a lower-bound conjecture at p = 2, with a conditional proof on a subfamily.
Syntomic regulators and p -adic integration
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Machine learning the arithmetic of Boyd's Mahler measure conjectures
Statistical analysis of 250,000 Boyd Mahler-measure constants reveals p-adic valuation laws (P(v_p = r) ≈ p^{-r} for p ≥ 5) and a lower-bound conjecture at p = 2, with a conditional proof on a subfamily.