trureturingGitHub MATHEMATICAL ATLAS

Weil / CONCEPT

Actual arithmetic remainder and atomic prefix energy

The complete actual arithmetic remainder has a uniform finite atomic prefix-energy cost on every fixed window.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH30
DOCUMENT LINKS0
THEOREM

Constructive bound with the exact finite cost

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Atomic prefixes, shifted hinges and exponential energyAtomic prefixes, shifted hingesand exponential energyLocal strict positivity of the actual prime kernelLocal strict positivity of theactual prime kernelActual arithmetic remainder and atomic prefix energyActual arithmetic remainder andatomic prefix energyOriginal full-kernel certificate sourceOriginal full-kernelcertificate source
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Lean sourceResearch workspace
Status
Closed
Depth
30
Layer
D5/S3
Domain
Weil
Node ID
D5/S3/Weil/Mertens/IntegratedExplicit/ActualKernelPrefixPerturbation
Repository path
D5/S3/Weil/Mertens/IntegratedExplicit/ActualKernelPrefixPerturbation.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.