Factorization / CONCEPT
The prime-norm cubic field
A prime Eisenstein factor gives a cubic without rational roots and a real cyclic splitting field of degree three.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
No nonzero integer projective zero
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
- Binary Formstructural-affinity · Closed
- Conjugate Primary Symbols from Wilson's Identitystructural-affinity · Closed
- Cubic Fermat Counts and Eisenstein Tracesstructural-affinity · Closed
- Cubic Gauss Sums, Frobenius, and Primary Reciprocitystructural-affinity · Closed
- Cubic Jacobi Sums and Primary Generatorsstructural-affinity · Closed
- Ideal Factorization of Odd Eisenstein Factorsstructural-affinity · Closed
- Primary Associates in the Eisenstein Orderstructural-affinity · Closed
- The Eisenstein Reduction for All Integer Powersstructural-affinity · Closed
- The Integral Third-Cyclotomic Model of Eisenstein Integersstructural-affinity · Closed
- The two-prime cubic Thue descentstructural-affinity · Closed
- Thue Equationstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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