Two-sided bounds for Lambda_DH are 0.2304 < Lambda_DH <= 0.7696992583210755065522 in the wide frame and 0.0576 < Lambda_DH <= 0.19242481458026887663805 in the narrow frame, ratio 3.341, with Lambda_DH > Lambda_zeta unconditionally, and the 2026-08-18 hardening left the lower side unmoved in every digit.
hunts/lambda_dh_bounds (Record 42 of 98 in chronological sequence)
Guiding Question
What are the first quantitative two-sided bounds for the de Bruijn-Newman constant Lambda_DH of the Davenport-Heilbronn function?
Method & Verification
The lower side is a ball-arithmetic winding count with a zero-shared-layer second witness; the upper side is a decided strip constant fed to de Bruijn 1950 Theorem 13, later sharpened in-tree by a phase obstruction that reaches Bombieri-Ghosh's abscissa on both backends.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
No HANDBACK.json at the pin. Headline filled from RESULTS section 0 and the case log, not from the RESULTS H1 title. Status is closed 2026-08-16, gate verdict publication candidate, hardened 2026-08-18 with verdict unchanged. Disposition maps closed to completed. A factor-of-4 frame error and a withdrawn sigma_0 originality claim are retained as corrections, not silently dropped. Nothing here is evidence about RH.
Date Provenance
commit 8b815e58afd90f7acc464c0c4b04f733c2d72bb9, hunts/lambda_dh_bounds/RESULTS.md, author 2026-08-20T21:25:57-05:00