Zeros / CONCEPT
Tang–Zhang's real-order reciprocal critical-point inequality
The reciprocal critical-point moment has the sharp Tang–Zhang coefficient for every real p at least one. For p greater than one, equality characterizes coincident nonzero roots. The conjectured equality characterization at p=1 is false.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH11
DOCUMENT LINKS0
The endpoint equality criterion is false
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
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RELATED KNOWLEDGE
Structural connections
- Commutator gap and scalar translationstructural-affinity · Closed
- Schur–Frobenius inequality and equalitystructural-affinity · Closed
- Tang–Zhang's sharp order −2 inequalitystructural-affinity · Closed
- The original two-swap channelstructural-affinity · Closed
- The sharp spectral moment inequalitystructural-affinity · Closed
- Weak products do not preserve edge-complexity equalitystructural-affinity · Closed
- Weighted Bottcher-Wenzel, case (ii)structural-affinity · Closed
- Zero diagonal blocksstructural-affinity · Closed
Documents & exposition
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LIBRARY / RELEASE VERSIONS
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