trureturingGitHub MATHEMATICAL ATLAS

Weil / CONCEPT

Rouche Zero-Count Stability

A strict boundary perturbation preserves the rectangle zero count with analytic multiplicity.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

The straight-line homotopy is nonvanishing on the boundary

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Weil: Rectangle Log DerivWeil: Rectangle Log DerivWeil: RectangleWeil: RectangleRouche Zero-Count StabilityRouche Zero-Count StabilityGolden Germ Zero Certificate ReductionGolden Germ Zero CertificateReductionProjective Rayleigh Enclosure and Rectangle Zero CountsProjective Rayleigh Enclosureand Rectangle Zero Counts
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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Weil
Node ID
D5/S3/Weil/ZetaAnalytic/RoucheZeroCount
Repository path
D5/S3/Weil/ZetaAnalytic/RoucheZeroCount.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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