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Weil / CONCEPT

Weil-Square Positivity Criterion

Relative to supplied zero data, nonnegativity of every repository Weil-square zero sum implies the Riemann hypothesis and is equivalent to it.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES3
PROOF DEPTH24
DOCUMENT LINKS1
THEOREM

Weil-square positivity implies the Riemann hypothesis

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Off-Line Zero Negative Weil SquareOff-Line Zero Negative WeilSquareRH Implies the Transcribed O-6 Weil Positivity StatementRH Implies the Transcribed O-6Weil Positivity StatementRight Half-Strip Riemann ReductionRight Half-Strip RiemannReductionWeil-Square Positivity CriterionWeil-Square PositivityCriterionExplicit-Formula Weil CriterionExplicit-Formula Weil CriterionPrime-Archimedean Poincare CriterionPrime-Archimedean PoincareCriterionWeil-Square Positivity Criteria Under Infinitely Many ZerosWeil-Square Positivity CriteriaUnder Infinitely Many Zeros
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Lean sourceResearch workspace
Status
Closed
Depth
24
Layer
D5/S3
Domain
Weil
Node ID
D5/S3/Weil/Separator/WeilSquarePositivityCriterion
Repository path
D5/S3/Weil/Separator/WeilSquarePositivityCriterion.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.