Theorems · Theorem · number theory

UpperHalfPlane.petersson_slash

∀ (k : ℤ) (f f' : UpperHalfPlane → ℂ) (g : GL (Fin 2) ℝ) (τ : UpperHalfPlane),
  UpperHalfPlane.petersson k (SlashAction.map k g f) (SlashAction.map k g f') τ =
    ↑|↑(Matrix.GeneralLinearGroup.det g)| ^ (k - 2) * (UpperHalfPlane.σ g) (UpperHalfPlane.petersson k f f' (g • τ))

Defined in: Mathlib.NumberTheory.ModularForms.Petersson
Cited by: 3 results in Mathlib
Foundations: Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

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Cited by3

Results whose statement or proof uses this declaration.

SlashInvariantFormClass.norm_petersson_smulproof · cited by 2
SlashInvariantFormClass.petersson_smulproof · cited by 0
UpperHalfPlane.petersson_slash_SLproof · cited by 0