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formal statement (Lean)
658theorem eulerQuantitativeFactorization_logDerivBound (ρ : ℂ)
659 (hρ_ne : ρ ≠ 1) (m : ℤ)
660 (hord : meromorphicOrderAt zetaReciprocal ρ = ↑m)
661 (hσ : 1/2 < ρ.re) :
662 (eulerQuantitativeFactorization ρ hρ_ne m hord hσ).logDerivBound =
663 carrierDerivBound ρ.re := by
proof body
Term-mode proof.
664 simp [eulerQuantitativeFactorization]
665
666/-- The center of the Euler quantitative factorization is the actual complex
667point `ρ`. -/
depends on (13)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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carrierDerivBound
in IndisputableMonolith.NumberTheory.EulerInstantiation
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eulerQuantitativeFactorization
in IndisputableMonolith.NumberTheory.EulerInstantiation
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zetaReciprocal
in IndisputableMonolith.NumberTheory.EulerInstantiation
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point
in IndisputableMonolith.Numerics.Interval.Basic
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