Arith / CONCEPT
The polynomial coefficient certificate for integral circulant energy
An exact integer coefficient comparison gives a uniform energy deficit for every mask below 2048 other than 1445 on the nonnegative quadrant.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS0
A uniform gap of at least 96
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Circulants and odd cosine pairingstructural-affinity · Closed
- Finite Ramanujan Divisor Identitystructural-affinity · Closed
- Granvik's Möbius and Mertens identitiesstructural-affinity · Closed
- Original primitive-path orbits and forward gyrationstructural-affinity · Closed
- Polygonal couplings and the discrete Fourier transformstructural-affinity · Closed
- Roldán's integral circulant energy conjecturestructural-affinity · Closed
- Zhi-Wei Sun's OEIS A228884 composite gcd-determinant boundstructural-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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