Analytic / CONCEPT
Positive Torus Carrier Criterion
A nonnegative weighted torus period whose nontrivial zeros are critical and whose auxiliary factor is regular forces all nontrivial zeta zeros onto the midline.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS1
A regular positive torus carrier implies the critical-line criterion
RELATIONSHIP ATLAS
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Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Curvature-Ledger Bridge Refutationstructural-affinity · Closed
- Global Logarithmic Gauge Criterionstructural-affinity · Closed
- Interior Curvature Criterionstructural-affinity · Closed
- Relative Curvature Support Criterionstructural-affinity · Closed
- Toroidal Temperedness Criterionstructural-affinity · Closed
- Weil: Count By Integralstructural-affinity · Closed
- Weil: Local Countstructural-affinity · Closed
- Weil: Statement Seam Closedstructural-affinity · Closed
Documents & exposition
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