trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Bilateral Quartic Powers Modulo Four

The bilateral equation of OEIS A379204 implies Hanna's parity and square-shift conjectures.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Coefficient maps preserve the unit inverse

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Direct recorded relationships
Theta Self-Composition Modulo FourTheta Self-Composition ModuloFourBilateral Quartic Powers Modulo FourBilateral Quartic Powers ModuloFourHanna's theta-four congruencesHanna's theta-four congruencesHanna's product-partition congruenceHanna's product-partitioncongruenceHanna's Overpartition Logarithmic Derivative Modulo FourHanna's OverpartitionLogarithmic Derivative ModuloFour
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/Parity/BilateralQuarticPowerThetaModFour
Repository path
D5/S1/Recurrence/Parity/BilateralQuarticPowerThetaModFour.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.