Factorization / CONCEPT
Conjugate Primary Symbols from Wilson's Identity
The Wilson binomial identity makes the conjugate primary generator a cube in the original residue field.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
Conjugating the Jacobi sum doubles the Euler exponents
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
- 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
- The Cubic Euler Sum and Wilson's Factorial Cubestructural-affinity · Closed
- The Eisenstein Reduction for All Integer Powersstructural-affinity · Closed
- The Half-Factorial Criterion for Minus Onestructural-affinity · Closed
- The prime-norm cubic fieldstructural-affinity · Closed
- Wilson's Theoremstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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