Theorems · Theorem · number theory
ModularForm.sturm_bound_levelOne_nat
∀ {k : ℕ} {f : ModularForm (Matrix.SpecialLinearGroup.mapGL ℝ).range ↑k},
↑(k / 12) < (UpperHalfPlane.qExpansion 1 ⇑f).order → f = 0Sturm bound for level-1 modular forms (natural weight). If a modular form f of weight
k : ℕ has q-expansion of order strictly greater than k / 12, then f is identically zero.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 336 from the axioms · uses propext, Classical.choice, Quot.sound
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