Recurrence / CONCEPT
Lucas Vertical Slices
Vertical slices admit criteria in terms of two consecutive traces, integer companion powers under a unit discriminant, and half the companion period when four is nonzero. The unit-discriminant hypothesis is not removable.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
Two consecutive traces characterize a slice
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Even Lucas Periodsstructural-affinity · Closed
- Fibonacci Power Strong Divisibilitystructural-affinity · Closed
- Fibonacci Sampling and the Coarse Time Quotientstructural-affinity · Closed
- Finite Fibonacci Sampling Smith Defectstructural-affinity · Closed
- Lucas Companion Traces and Dyadic Zerosstructural-affinity · Closed
- Lucas Descent for Even Modulistructural-affinity · Closed
- The Number of Zeros in a Period Is Not Confined to Twostructural-affinity · Closed
- Trureturingstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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