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structure definition def or abbrev

RecognitionThetaModularIdentity

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formal statement (Lean)

 277structure RecognitionThetaModularIdentity : Prop where
 278  prefactor : ∃ ρ : ℝ → ℝ, Continuous ρ ∧
 279    ∀ t : ℝ, 0 < t →
 280      recognitionTheta (1 / t) = ρ t * recognitionTheta t
 281
 282/-- Sub-conjecture A.3: the Mellin transform of `Θ̃_RS` factors as
 283    `ζ(s) · G_RS(s)` where `G_RS` is a meromorphic function inheriting
 284    the reflection symmetry from the modular identity.
 285
 286    We package the existence of the factorization as a Prop. -/

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