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def definition def or abbrev

XiOrderBound

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 169def XiOrderBound : Prop :=

proof body

Definition body.

 170  ∃ C K : ℝ, 0 < C ∧ 0 < K ∧
 171    ∀ s : ℂ, K ≤ ‖s‖ →
 172      ‖completedRiemannZeta₀ s‖ ≤ Real.exp (C * ‖s‖)
 173
 174/-- `XiZeroSummability`: the inverse-square moduli of zeros of
 175`completedRiemannZeta₀` are summable (Jensen's formula + counting). Mathlib
 176has Jensen's formula but the application to ξ₀ is not packaged. -/

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