Recurrence / CONCEPT
Dyadic parity for Hanna's cubic series
Every normalized rational solution of Hanna's cubic equation has integer coefficients odd exactly at powers of two.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS0
The parity conjecture holds
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
- Hanna's A382319 Congruence Modulo Threestructural-affinity · Closed
- Hanna's A393173 Power-of-Two Paritystructural-affinity · Closed
- Hanna's Cubic Substitution Parity Conjecturestructural-affinity · Closed
- Hanna's Half-Iterate Conjecture Modulo Threestructural-affinity · Closed
- Hanna's Lambert-Cube Congruences Modulo Threestructural-affinity · Closed
- Hanna's Square-Composition Congruencestructural-affinity · Closed
- Hanna's Three-Four Iterate Product Congruencestructural-affinity · Closed
- Integral solutions for prime substitution exponentsstructural-affinity · Closed
- Prime exponents characterize Somos integralitystructural-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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