Theorems · Theorem · number theory
ModularForm.discriminant_qExpansion_order
(UpperHalfPlane.qExpansion 1 ModularForm.discriminant).order = 1
The order of the q-expansion of the modular discriminant is 1: the zeroth coefficient vanishes (Δ is a cusp form) and the first coefficient equals 1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 327 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
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
- ENatstatement · cited by 4,985
- one_ne_zeroproof · cited by 885
- one_posproof · cited by 102
- PowerSeries.orderstatement · cited by 92
- UpperHalfPlane.qExpansionstatement and proof · cited by 64
- PowerSeries.coeff_zero_eq_constantCoeffproof · cited by 41
- ModularForm.discriminantstatement and proof · cited by 20
- one_mem_strictPeriods_SLproof · cited by 8
- CuspForm.discriminantproof · cited by 7
- PowerSeries.order_eq_natproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.sturm_bound_levelOne_natproof · cited by 1