IMM Paper 13 — Repair Patches for the Theorem Block T3.2–T6.1 (Findings F-P13-1..5, with certificates)

Drop-in repair patches for the theorem block T3.2-T6.1 of IMM Paper 13, following a registered line-by-line verification pass (2026-08-02) with committed certificate scripts and an independent zero-code-reuse re-verification (2026-08-03). Findings F-P13-1..5: the infinite-prime potential of T3.2 is pointwise divergent and is replaced by a cutoff form plus a renormalized form (essential self-adjointness via Faris-Lavine; boundedness below relocated to an open question); T4.1 is repaired to odd-order scope with the even-order counterexample certified numerically; T5.1 is verified with two cosmetic corrections; T6.1's Thouless constant is corrected by a factor of 4 and the Kotani corollary is demoted to Conjecture 7.2. Patches only, to be merged into the canonical source on the author's instruction. Nothing in this document bears on the truth of the Riemann Hypothesis.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21777138
Primary Topic
Analytic Number Theory Research
Type
preprint
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IMM Paper 13 — Repair Patches for the Theorem Block T3.2–T6.1 (Findings F-P13-1..5, with certificates)

Travis Bergen
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

IMM Paper 13 — Repair Patches for the Theorem Block T3.2–T6.1 (Findings F-P13-1..5, with certificates)

Travis Bergen
preprint en

Abstract

Drop-in repair patches for the theorem block T3.2-T6.1 of IMM Paper 13, following a registered line-by-line verification pass (2026-08-02) with committed certificate scripts and an independent zero-code-reuse re-verification (2026-08-03). Findings F-P13-1..5: the infinite-prime potential of T3.2 is pointwise divergent and is replaced by a cutoff form plus a renormalized form (essential self-adjointness via Faris-Lavine; boundedness below relocated to an open question); T4.1 is repaired to odd-order scope with the even-order counterexample certified numerically; T5.1 is verified with two cosmetic corrections; T6.1's Thouless constant is corrected by a factor of 4 and the Kotani corollary is demoted to Conjecture 7.2. Patches only, to be merged into the canonical source on the author's instruction. Nothing in this document bears on the truth of the Riemann Hypothesis.

Zenodo (CERN European Organization for Nuclear Research)
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Analytic Number Theory Research
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