Theorems · Theorem · number theory
CuspForm.rank_eq_zero_of_weight_lt_twelve
∀ {k : ℤ}, k < 12 → Module.rank ℂ (CuspForm (Matrix.SpecialLinearGroup.mapGL ℝ).range k) = 0Cusp forms of weight k < 12 for 𝒮ℒ are zero-dimensional.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 331 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- Cardinalstatement · cited by 2,598
- Matrix.GeneralLinearGroupstatement · cited by 556
- Module.rankstatement · cited by 496
- Matrix.SpecialLinearGroupstatement · cited by 348
- MonoidHom.rangestatement · cited by 314
- Matrix.SpecialLinearGroup.mapGLstatement · cited by 98
- CuspFormstatement · cited by 36
- LinearEquiv.rank_eqproof · cited by 31
- CuspForm.discriminantEquivproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ModularForm.levelOne_weight_four_rank_oneproof · cited by 0
- ModularForm.levelOne_weight_six_rank_oneproof · cited by 0