Theorems · Definition · number theory
Subgroup.strictWidthInfty
Subgroup (GL (Fin 2) ℝ) → ℝ
The strict width of the cusp ∞, i.e. the x such that 𝒢.strictPeriods = zmultiples x, or
0 if no such x exists.
- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 25,697
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- absproof · cited by 1,814
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- DiscreteTopologyproof · cited by 373
- Subgroup.strictPeriodsproof · cited by 63
Cited by20
Results whose statement or proof uses this declaration.
- Subgroup.widthInftyproof · cited by 7
- Subgroup.strictWidthInfty_mem_strictPeriodsstatement and proof · cited by 5
- Subgroup.strictWidthInfty_pos_iffstatement and proof · cited by 5
- Subgroup.strictPeriods_eq_zmultiples_strictWidthInftystatement · cited by 4
- Subgroup.strictWidthInfty_eq_one_of_T_memstatement · cited by 3
- Subgroup.strictWidthInfty_nonnegstatement · cited by 2
- qExpansion_coeff_isBigO_of_norm_isBigOstatement and proof · cited by 2
- ModularFormClass.exp_decay_sub_atImInfty'proof · cited by 1
- ModularFormClass.qExpansion_isBigOstatement and proof · cited by 1
- ModularForm.isZeroAtImInfty_of_valueAtInfty_eq_zeroproof · cited by 1
- Subgroup.strictWidthInfty_posstatement · cited by 1
- CuspFormClass.qExpansion_isBigOstatement · cited by 1