trureturingGitHub MATHEMATICAL ATLAS

ArithUnits / CONCEPT

Prime Odd-Character Moments on Native Units

The first character moment over actual residue units equals the all-residue weighted sum. For a prime modulus, a nonprincipal odd character has a nonzero moment.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Extension by zero on nonunits

RELATIONSHIP ATLAS

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Direct recorded relationships
Prime Odd-Character Weighted MomentsPrime Odd-Character WeightedMomentsUniform Least-Residue Unit-Coset LiftUniform Least-Residue Unit-Coset LiftPrime Odd-Character Moments on Native UnitsPrime Odd-Character Moments onNative Units
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

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None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
ArithUnits
Node ID
D5/S3/ArithUnits/MercaPrimeCharacterMoment
Repository path
D5/S3/ArithUnits/MercaPrimeCharacterMoment.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.