trureturingGitHub MATHEMATICAL ATLAS

Weil / CONCEPT

Weighted prime limits

Quantitative Chebyshev error decay gives convergence of the original weighted prime error.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES4
PROOF DEPTH14
DOCUMENT LINKS0
THEOREM

Absolute integrability of the actual error kernel

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Complete Chebyshev tail identity from absolute integrabilityComplete Chebyshev tailidentity from absoluteintegrabilityWeighted nonprime residualWeighted nonprime residualMediumPNTMediumPNTWeighted prime limitsWeighted prime limitsComplete Mertens peaks and finite Robin witnessesComplete Mertens peaks andfinite Robin witnessesActual theta signed tailsActual theta signed tailsCentered Mertens tail cancellationCentered Mertens tailcancellationReuse-only weighted Mangoldt suppliersReuse-only weighted Mangoldtsuppliers
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
14
Layer
D5/S3
Domain
Weil
Node ID
D5/S3/Weil/Mertens/WeightedPrimeLimit
Repository path
D5/S3/Weil/Mertens/WeightedPrimeLimit.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.