trureturingGitHub MATHEMATICAL ATLAS

Phase / CONCEPT

Polynomial Equidistribution on Unrestricted Rectangles

Polynomial phases cancel over rectangles whose sides grow independently; distinct nonconstant monomials consequently have Haar averages for continuous observables.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

One threshold for all rectangular shapes

RELATIONSHIP ATLAS

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Direct recorded relationships
Character Averages of Irrational RotationsCharacter Averages ofIrrational RotationsPolynomial Equidistribution on Unrestricted RectanglesPolynomial Equidistribution onUnrestricted Rectangles
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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.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Phase
Node ID
D5/S1/Phase/MultivariateWeylRectangles
Repository path
D5/S1/Phase/MultivariateWeylRectangles.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

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.