trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

Positive Laplace transforms and zeta poles

Positivity bounds the zeta residues of a continued Laplace transform.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES1
PROOF DEPTH7
DOCUMENT LINKS0
THEOREM

Convergence throughout the regular real ray

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Nonnegative exponential transformsNonnegative exponentialtransformsPositive Laplace boundary kernelsPositive Laplace boundarykernelsThe normalized zeta logarithmic derivativeThe normalized zeta logarithmicderivativeWeil: StatementWeil: StatementPositive Laplace transforms and zeta polesPositive Laplace transforms andzeta polesTwo-sided unboundedness of the complete forward responseTwo-sided unboundedness of thecomplete forward response
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Lean sourceResearch workspace
Status
Closed
Depth
7
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/Zeta/PositiveLaplacePoleObstruction
Repository path
D5/S3/Analytic/Zeta/PositiveLaplacePoleObstruction.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.