Theorems · Theorem · number theory
ModularForm.levelOne_neg_weight_rank_zero
∀ {k : ℤ}, k < 0 → Module.rank ℂ (ModularForm (Matrix.SpecialLinearGroup.mapGL ℝ).range k) = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Cardinalstatement · cited by 2,598
- one_smulproof · cited by 1,374
- one_ne_zeroproof · cited by 885
- Matrix.GeneralLinearGroupstatement · cited by 556
- Module.rankstatement · cited by 496
- Matrix.SpecialLinearGroupstatement · cited by 348
- MonoidHom.rangestatement and proof · cited by 314
- Matrix.SpecialLinearGroup.mapGLstatement and proof · cited by 98
- ModularFormstatement and proof · cited by 98
Cited by4
Results whose statement or proof uses this declaration.
- CuspForm.rank_eq_zero_of_weight_lt_twelveproof · cited by 2
- ModularForm.sturm_bound_levelOne_natproof · cited by 1
- ModularForm.dimension_level_oneproof · cited by 0
- ModularForm.sturm_bound_levelOneproof · cited by 0