Theorems · Theorem · number theory
ModularForm.levelOne_odd_weight_rank_zero
∀ {k : ℤ}, Odd k → Module.rank ℂ (ModularForm (Matrix.SpecialLinearGroup.mapGL ℝ).range k) = 0Modular forms of odd weight for 𝒮ℒ are zero-dimensional.
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- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Oddstatement and proof · cited by 364
- Matrix.SpecialLinearGroupstatement · cited by 348
- MonoidHom.rangestatement · cited by 314
- Matrix.SpecialLinearGroup.mapGLstatement · cited by 98
- ModularFormstatement · cited by 98
- rank_zero_iff_forall_zeroproof · cited by 5
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