Theorems · Theorem · number theory
ModularForm.dimension_level_one
∀ (k : ℕ),
Even k →
Module.rank ℂ (ModularForm (Matrix.SpecialLinearGroup.mapGL ℝ).range ↑k) =
↑(if k ≡ 2 [MOD 12] then k / 12 else k / 12 + 1)The dimension formula for 𝒮ℒ modular forms of even weight.
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- Foundations
- Depth 335 from the axioms · uses propext, Classical.choice, Quot.sound
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