CharacterSums / CONCEPT
Cubic Fermat Counts and Eisenstein Traces
The actual cubic Fermat projective point count is the residue cardinality plus one minus the trace of a primary Eisenstein generator.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
The cubic count is a conjugate pair of Jacobi sums
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
- Conjugate Primary Symbols from Wilson's Identitystructural-affinity · Closed
- Cubic Gauss Sums, Frobenius, and Primary Reciprocitystructural-affinity · Closed
- Cubic Jacobi Sums and Primary Generatorsstructural-affinity · Closed
- Fermat Point Counts from Multiplicative Charactersstructural-affinity · Closed
- Ideal Factorization of Odd Eisenstein Factorsstructural-affinity · Closed
- Scalar Quotients of Oriented Eisenstein Factorsstructural-affinity · Closed
- The Eisenstein Reduction for All Integer Powersstructural-affinity · Closed
- The prime-norm cubic fieldstructural-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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