Recurrence / CONCEPT
Prime exponents characterize Somos integrality
The normalized rational series of the Somos family is integral exactly for prime exponents.
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DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS0
Integrality holds exactly at prime 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
- Dyadic parity for Hanna's cubic seriesstructural-affinity · Closed
- Hanna's A375449 Diagonal Derivative Paritystructural-affinity · Closed
- Hanna's A382319 Congruence Modulo Threestructural-affinity · Closed
- Hanna's Absolute Reciprocal Geometric Paritystructural-affinity · Closed
- Hanna's Compositional-Iterate Congruencestructural-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 A377100 mod-three conjecturestructural-affinity · Closed
- Integral solutions for prime substitution exponentsstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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