trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Normalized coefficient contractions

A strict improvement of coefficient agreement gives a unique normalized formal power-series fixed point.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES13
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

A normalized contraction has a unique fixed point

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Hanna's Compositional-Iterate CongruenceHanna's Compositional-IterateCongruenceScaled Reversion and Coefficient CongruenceScaled Reversion andCoefficient CongruenceUnit Reversion and Square ParityUnit Reversion and SquareParityNormalized coefficient contractionsNormalized coefficientcontractionsHanna's absolute cubic congruence for A380711Hanna's absolute cubiccongruence for A380711The unit-exponent bilateral productThe unit-exponent bilateralproductHanna's Prime Bilateral Integrality ConjectureHanna's Prime BilateralIntegrality ConjectureHanna's theta-four congruencesHanna's theta-four congruencesHanna's A393173 Power-of-Two ParityHanna's A393173 Power-of-TwoParityHanna’s A377100 mod-three conjectureHanna’s A377100 mod-threeconjectureHanna's A375449 Diagonal Derivative ParityHanna's A375449 DiagonalDerivative ParityHanna’s A274479 mod-three conjectureHanna’s A274479 mod-threeconjectureHanna's Square-Composition CongruenceHanna's Square-CompositionCongruenceHanna's Quadrupled Linear Rows and Dyadic ParityHanna's Quadrupled Linear Rowsand Dyadic ParityOEIS A193237: congruences modulo five and sevenOEIS A193237: congruencesmodulo five and sevenIntegral EGF recurrences and residual transferIntegral EGF recurrences andresidual transferHanna's dyadic vanishing conjecture for A271960Hanna's dyadic vanishingconjecture for A271960
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/Invariants/PowerSeriesNormalizedContraction
Repository path
D5/S1/Recurrence/Invariants/PowerSeriesNormalizedContraction.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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