ModularForm.eta_comp_eq_csqrt_I_inv

Set.EqOn (ModularForm.eta ∘ fun x => -1 / x) (Complex.I.sqrt⁻¹ • (Complex.sqrt * ModularForm.eta))
  UpperHalfPlane.upperHalfPlaneSet

The transformation formula for η under S : z ↦ -1 / z: we have η(-1 / z) = (√I)⁻¹ · √z · η(z) on the upper half-plane.

Defined in: Mathlib.NumberTheory.ModularForms.Discriminant
Cited by: 1 results in Mathlib
Foundations: Depth 322 from the axioms · uses propext, Classical.choice, Quot.sound

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