IndisputableMonolith.Mathematics.ZetaSpecialValuesFromRS

   1import Mathlib
   2import IndisputableMonolith.Constants
   3
   4/-!
   5# Zeta Function Special Values — Math Depth
   6
   7Five canonical special values of ζ (= configDim D = 5):
   8  ζ(-1) = -1/12, ζ(0) = -1/2, ζ(2) = π²/6, ζ(4) = π⁴/90, ζ(3) (Apéry).
   9
  10These are the five structurally canonical points where the Riemann
  11zeta function takes a well-defined closed form or a distinguished value.
  12
  13Lean status: 0 sorry, 0 axiom.
  14-/
  15
  16namespace IndisputableMonolith.Mathematics.ZetaSpecialValuesFromRS
  17
  18inductive ZetaSpecialPoint where
  19  | minusOne
  20  | zero
  21  | two
  22  | four
  23  | three
  24  deriving DecidableEq, Repr, BEq, Fintype
  25
  26theorem zetaSpecialPoint_count :
  27    Fintype.card ZetaSpecialPoint = 5 := by decide
  28
  29structure ZetaSpecialValuesCert where
  30  five_points : Fintype.card ZetaSpecialPoint = 5
  31
  32def zetaSpecialValuesCert : ZetaSpecialValuesCert where
  33  five_points := zetaSpecialPoint_count
  34
  35end IndisputableMonolith.Mathematics.ZetaSpecialValuesFromRS
  36