`ZetaPhaseFamilyData`

definition

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module: IndisputableMonolith.NumberTheory.MeromorphicCircleOrder
domain: NumberTheory
line: 965 · github
papers citing: none yet

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IndisputableMonolith.NumberTheory.MeromorphicCircleOrder on GitHub at line 965.

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 962
 963The `phaseFamily` should be `zetaDerivedPhaseFamily` for honest data;
 964the `family_derived` field witnesses this. -/
 965structure ZetaPhaseFamilyData where
 966  sensor : DefectSensor
 967  witness : QuantitativeLocalFactorization
 968  witness_realPart : witness.center.re = sensor.realPart
 969  witness_order : witness.order = -sensor.charge
 970  phaseFamily : DefectPhaseFamily
 971  family_sensor : phaseFamily.sensor = sensor
 972  family_derived : phaseFamily = zetaDerivedPhaseFamily sensor witness witness_order
 973
 974/-- Any honest zeta phase-family package carries the canonical zero-perturbation
 975witness attached to its derived phase family. -/
 976noncomputable def ZetaPhaseFamilyData.perturbationWitness
 977    (zfd : ZetaPhaseFamilyData) :
 978    DefectPhasePerturbationWitness zfd.phaseFamily := by
 979  simpa [zfd.family_derived] using
 980    zetaDerivedPhasePerturbationWitness zfd.sensor zfd.witness zfd.witness_order
 981
 982end
 983
 984end NumberTheory
 985end IndisputableMonolith

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