Theorems · Definition · number theory
OnePoint.IsBoundedAt
OnePoint ℝ → (UpperHalfPlane → ℂ) → ℤ → Prop
We say f is bounded at c if, for all g with g • ∞ = c, the function f ∣[k] g is
bounded at ∞.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupproof · cited by 556
- OnePointstatement and proof · cited by 126
- OnePoint.inftyproof · cited by 102
- SlashAction.mapproof · cited by 74
- UpperHalfPlane.IsBoundedAtImInftyproof · cited by 30
Cited by19
Results whose statement or proof uses this declaration.
- OnePoint.isBoundedAt_infty_iffstatement and proof · cited by 3
- ModularFormClass.bdd_at_cuspsstatement · cited by 3
- ModularForm.mk.injstatement and proof · cited by 1
- ModularForm.mk.noConfusionstatement and proof · cited by 1
- ModularForm.bdd_at_cusps'statement · cited by 1
- ModularFormClass.bdd_at_infty_slashproof · cited by 1
- OnePoint.IsBoundedAt.smul_iffstatement and proof · cited by 1
- OnePoint.isBoundedAt_iffstatement and proof · cited by 0
- OnePoint.isBoundedAt_iff_exists_SL2Zstatement · cited by 0
- OnePoint.isBoundedAt_iff_forall_SL2Zstatement and proof · cited by 0
- ModularForm.recOnstatement and proof · cited by 0
- ModularFormClass.recOnstatement and proof · cited by 0