Weil / CONCEPT
A Nontrivial Zero in Every Fixed-Width Window
Every sufficiently high window of one fixed width contains a nontrivial zeta zero.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES2
PROOF DEPTH19
DOCUMENT LINKS1
The explicit-formula right side has a logarithmic lower bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Archimedean Divergence of Translated Packetstruth-dependency · Closed
- Cosine-Modulated Packettruth-dependency · Closed
- Explicit-Formula Obstruction to a Finite Zero Carriertruth-dependency · Closed
- Weil: Local Counttruth-dependency · Closed
- Weil: Maintruth-dependency · Closed
- Weil: Zero Summabilitytruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Archimedean Divergence of Translated Packetsstructural-affinity · Closed
- Cosine-Modulated Packetstructural-affinity · Closed
- Explicit-Formula Obstruction to a Finite Zero Carrierstructural-affinity · Closed
- Logarithmic Zero Count in Every Fixed-Width Windowstructural-affinity · Closed
- Noncompact exponential samplingstructural-affinity · Closed
- The full signed zero sum under a closed-strip envelopestructural-affinity · Closed
- Two-sided unboundedness of the complete forward responsestructural-affinity · Closed
- Weighted zero samplingstructural-affinity · Closed
- Weil: Local Countstructural-affinity · Closed
- Weil: Mainstructural-affinity · Closed
- Weil: Zero Summabilitystructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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