Theorems · Definition · number theory
ModularForm.const
{Γ : Subgroup (GL (Fin 2) ℝ)} → ℂ → [Γ.HasDetOne] → ModularForm Γ 0The constant function with value x : ℂ as a modular form of weight 0 and any level.
- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- OnePointproof · cited by 126
- OnePoint.inftyproof · cited by 102
- ModularFormstatement · cited by 98
- IsCuspproof · cited by 51
- SlashInvariantFormproof · cited by 46
- Subgroup.HasDetOnestatement and proof · cited by 18
- SlashInvariantForm.constproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- ModularForm.levelOne_weight_zero_rank_oneproof · cited by 2
- ModularForm.const.congr_simpstatement and proof · cited by 0
- ModularForm.const_applystatement · cited by 0
- ModularForm.coe_conststatement and proof · cited by 0