Theorems · Definition · number theory
OnePoint.IsZeroAt
OnePoint ℝ → (UpperHalfPlane → ℂ) → ℤ → Prop
We say f is zero at c if, for all g with g • ∞ = c, the function f ∣[k] g is
zero at ∞.
- Cited by
- 14 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.IsZeroAtImInftyproof · cited by 24
Cited by21
Results whose statement or proof uses this declaration.
- OnePoint.isZeroAt_infty_iffstatement and proof · cited by 2
- CuspFormClass.zero_at_cuspsstatement · cited by 2
- ModularForm.isCuspForm_iffstatement and proof · cited by 1
- ModularForm.isZeroAt_of_coeffZero_eq_zerostatement · cited by 1
- OnePoint.isZeroAt_iff_forall_SL2Zstatement and proof · cited by 1
- CuspForm.zero_at_cusps'statement · cited by 1
- CuspForm.mk.injstatement and proof · cited by 1
- OnePoint.IsZeroAt.smul_iffstatement and proof · cited by 1
- CuspForm.mk.noConfusionstatement and proof · cited by 1
- CuspForm.noConfusionproof · cited by 0
- CuspForm.noConfusionTypeproof · cited by 0
- CuspForm.recOnstatement and proof · cited by 0