files / problems / simon-ionization-excess / compute / q2 / README.md

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q2 — leading coefficient and small Z

Search for a leading coefficient below 1.11851.1185, a bound on N0(Z)−ZN_0(Z)-Z for a concrete ZZ-range, or an s>3s>3 path. Nothing here replaces Hundertmark–Pattakos–Schulz Theorem 2.2 (arXiv:2504.18487v1). Hydrogen uniqueness is not claimed.

./run_all.sh

That replays the small-ZZ envelopes, the s>3s>3 two-shell counterexamples, the withdrawn 1.11681.1168 notice, the compact aspect-≤4\le 4 face enumeration, and the independent Rust rebuild. Exit 00 is residue.

Certificates: certs/smallz.json, certs/s_gt_3.json, certs/beta3_compact.json, certs/beta3_rad.json (withdrawn), certs/aspect_try.json. Notes in work/.