Theorems · Inductive type · number theory
CuspFormClass
(F : Type u_2) → outParam (Subgroup (GL (Fin 2) ℝ)) → outParam ℤ → [FunLike F UpperHalfPlane ℂ] → Prop
CuspFormClass F Γ k says that F is a type of bundled functions that extend
SlashInvariantFormClass by requiring that the functions be holomorphic and zero
at all cusps.
- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement · cited by 3,593
- FunLikestatement · cited by 2,560
- UpperHalfPlanestatement · cited by 626
- Matrix.GeneralLinearGroupstatement · cited by 556
Cited by25
Results whose statement or proof uses this declaration.
- CuspFormClass.zero_at_inftystatement and proof · cited by 8
- CuspForm.translatestatement and proof · cited by 3
- CuspForm.isStrongFEPairstatement and proof · cited by 2
- CuspFormClass.petersson_bounded_leftstatement and proof · cited by 2
- CuspFormClass.zero_at_cuspsstatement and proof · cited by 2
- CuspForm.differentiable_Λstatement and proof · cited by 1
- CuspForm.hasSum_Λstatement and proof · cited by 1
- CuspForm.tracestatement and proof · cited by 1
- CuspForm.Λ_eq_mellinstatement and proof · cited by 1
- CuspFormClass.cuspFunction_apply_zerostatement and proof · cited by 1
- CuspFormClass.exists_boundstatement and proof · cited by 1
- CuspFormClass.exp_decay_atImInftystatement and proof · cited by 1