trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Quotient Theta Composition Modulo Four

The positive coefficients of OEIS A378580 are two modulo four exactly at square degrees.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Unit inversion commutes with ring homomorphisms

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Direct recorded relationships
Theta Self-Composition Modulo FourTheta Self-Composition ModuloFourQuotient Theta Composition Modulo FourQuotient Theta CompositionModulo FourAntidiagonal Array and Source SeriesAntidiagonal Array and SourceSeriesHanna's A393173 Power-of-Two ParityHanna's A393173 Power-of-TwoParityHanna's Bilateral Reversion ParityHanna's Bilateral ReversionParityHanna Bilateral Theta Congruence Modulo FourHanna Bilateral ThetaCongruence Modulo Four
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/Residue/QuotientThetaCompositionModFour
Repository path
D5/S1/Recurrence/Residue/QuotientThetaCompositionModFour.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.