Factorization / CONCEPT
Cubic Jacobi Sums and Primary Generators
The Euler cubic residue character determines the sign and the chosen ideal of its Eisenstein-valued Jacobi sum.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS0
The Euler character has exact order three
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
- Conjugate Primary Symbols from Wilson's Identitystructural-affinity · Closed
- Cubic Characters on Factored Eisenstein Idealsstructural-affinity · Closed
- Cubic Fermat Counts and Eisenstein Tracesstructural-affinity · Closed
- Cubic Gauss Sums, Frobenius, and Primary Reciprocitystructural-affinity · Closed
- Fermat Point Counts from Multiplicative Charactersstructural-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 Integral Third-Cyclotomic Model of Eisenstein Integersstructural-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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