trureturingGitHub MATHEMATICAL ATLAS

PrimeGaps / CONCEPT

Laplace Transform of the Fragment Law

Derive the Laplace functional of the weighted Poisson fragment law and the real Laplace transform of its total mass.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Factor the exponential of a finite sum

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Direct recorded relationships
Weighted Poisson Fragment LawWeighted Poisson Fragment LawLaplace Transform of the Fragment LawLaplace Transform of theFragment Law
Proof dependencyStructural affinityDocument link

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Prerequisites

Certified topology / DOWNSTREAM

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None recorded in this release.

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
PrimeGaps
Node ID
D5/S3/PrimeGaps/FragmentLaplaceTransform
Repository path
D5/S3/PrimeGaps/FragmentLaplaceTransform.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

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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.