Certified regions for the PF4 problem of Riemann's kernel and the far-left zero curves of Riemann's auxiliary function R(s): a verified computational record

Monograph v6 of the Riemann Hypothesis study sprint (Oct 30 to Nov 1, 2026): interval-certified D4 > 0 regions for Michalowski's Problem 1 (arXiv:2602.20313), a winding-certified census of R(s) zeros to height 6580, three far-left zero curves with a frozen prediction ledger (12 scored hits, 0 misses), full methods, audit and corrections registers. SHA-256 hashes of the core files are in PRIORITY-RECORD.txt, created 2026-11-01 09:02 EST, before any external disclosure.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23860657
Primary Topic
Analytic Number Theory Research
Type
article
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article

Certified regions for the PF4 problem of Riemann's kernel and the far-left zero curves of Riemann's auxiliary function R(s): a verified computational record

David Finlay
5 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

Certified regions for the PF4 problem of Riemann's kernel and the far-left zero curves of Riemann's auxiliary function R(s): a verified computational record

David Finlay
article en

Abstract

Monograph v6 of the Riemann Hypothesis study sprint (Oct 30 to Nov 1, 2026): interval-certified D4 > 0 regions for Michalowski's Problem 1 (arXiv:2602.20313), a winding-certified census of R(s) zeros to height 6580, three far-left zero curves with a frozen prediction ledger (12 scored hits, 0 misses), full methods, audit and corrections registers. SHA-256 hashes of the core files are in PRIORITY-RECORD.txt, created 2026-11-01 09:02 EST, before any external disclosure.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 4%
Analytic Number Theory Research
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Certified regions for the PF4 problem of Riemann's kernel and the far-left zero curves of Riemann's auxiliary function R(s): a verified computational record — David Finlay · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS