Theorems · Theorem · number theory
ModularForm.discriminant_qExpansion_coeff_one
(PowerSeries.coeff 1) (UpperHalfPlane.qExpansion 1 ModularForm.discriminant) = 1
The first q-expansion coefficient of the modular discriminant is 1.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 293 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupproof · cited by 15,752
- NormedSpaceproof · cited by 12,499
- LinearMapstatement · cited by 10,215
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- SummationFilter.unconditionalproof · cited by 2,068
Cited by2
Results whose statement or proof uses this declaration.
- ModularForm.discriminant_qExpansion_orderproof · cited by 1
- ModularForm.discriminant_eq_E₄_cube_sub_E₆_sqproof · cited by 0