Phase / CONCEPT
Character Averages of Irrational Rotations
Every nonzero character of an irrational rotation has average zero at each initial phase.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS1
Vanishing average at every specified initial phase
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
- A CRT law for actual square-displacement thresholdsstructural-affinity · Closed
- A fourth-order envelope for actual square-displacement countsstructural-affinity · Closed
- Continuous Averages of Irrational Rotationsstructural-affinity · Closed
- Interval Sampling of Irrational Rotationsstructural-affinity · Closed
- Irrationality of Natural Logarithmsstructural-affinity · Closed
- Polynomial Equidistribution on Unrestricted Rectanglesstructural-affinity · Closed
- The log-two threshold bracketstructural-affinity · Closed
- The scale of the finite square-displacement remainderstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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