Combinatorics / CONCEPT
The crown auxiliary Chebyshev identity
The weighted auxiliary polynomial is a shifted Chebyshev quotient.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH12
DOCUMENT LINKS1
The exact identity for every n
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Actual geometric face countsstructural-affinity · Closed
- All positive crown sizesstructural-affinity · Closed
- Counting selected odd blocksstructural-affinity · Closed
- Log-concavity of the full crown f-vectorstructural-affinity · Closed
- Merging selected blocks into endpointsstructural-affinity · Closed
- Newton inequalities from the upstream symmetric-function proofstructural-affinity · Closed
- Recovering endpoint selectionsstructural-affinity · Closed
- The auxiliary scalar polynomialstructural-affinity · Closed
- The two exceptional verticesstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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