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structure

ClassicalZeroFreeRegionAttackSurface

definition
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module
IndisputableMonolith.NumberTheory.ClassicalZeroFreeRegion
domain
NumberTheory
line
88 · github
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IndisputableMonolith.NumberTheory.ClassicalZeroFreeRegion on GitHub at line 88.

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formal source

  85/-- Machine-readable Track B1 status. The elementary positivity kernel is
  86proved; the remaining field is exactly the classical analytic zero-free-region
  87input. -/
  88structure ClassicalZeroFreeRegionAttackSurface where
  89  trig_kernel_nonneg :
  90    ∀ θ : ℝ, 0 ≤ 3 + 4 * Real.cos θ + Real.cos (2 * θ)
  91  open_deLaValleePoussin :
  92    DeLaValleePoussinZeroFreeRegion → StripZeroFreeBridge
  93
  94def classicalZeroFreeRegionAttackSurface :
  95    ClassicalZeroFreeRegionAttackSurface where
  96  trig_kernel_nonneg := deLaValleePoussin_trig_kernel_nonneg
  97  open_deLaValleePoussin := stripZeroFreeBridge_of_deLaValleePoussin
  98
  99end
 100
 101end ClassicalZeroFreeRegion
 102end NumberTheory
 103end IndisputableMonolith