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Theorems · Theorem · number theory

SlashInvariantForm.slash_S_apply

∀ (f : UpperHalfPlane → ℂ) (k : ℤ) (z : UpperHalfPlane),
  SlashAction.map k ModularGroup.S f z = f { coe := (-↑z)⁻¹, coe_im_pos := ⋯ } * ↑z ^ (-k)
Defined in
Mathlib.NumberTheory.ModularForms.Identities
Cited by
1 results in Mathlib
Foundations
Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

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