Theorems · Theorem · number theory

ModularForm.L.congr_simp

∀ {Γ Γ_1 : Subgroup (GL (Fin 2) ℝ)} (e_Γ : Γ = Γ_1) [inst : Γ.IsArithmetic] {k k_1 : ℤ} (e_k : k = k_1) (hk : 0 < k)
  {F : Type u_1} [inst_1 : FunLike F UpperHalfPlane ℂ] (f f_1 : F),
  f = f_1 → ∀ [inst_2 : ModularFormClass F Γ k] (s s_1 : ℂ), s = s_1 → ModularForm.L hk f s = ModularForm.L ⋯ f_1 s_1

Defined in: Mathlib.NumberTheory.ModularForms.LFunction
Cited by: 0 results in Mathlib
Foundations: Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Subgroup.IsArithmetic FunLike ModularFormClass

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Complexstatement and proof · cited by 5,565
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UpperHalfPlanestatement and proof · cited by 626
Matrix.GeneralLinearGroupstatement and proof · cited by 556
ModularFormClassstatement and proof · cited by 64
Subgroup.IsArithmeticstatement and proof · cited by 41
ModularForm.Lstatement and proof · cited by 4

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