Theorems · Definition · number theory
ModularForm.E
{k : ℕ} → 3 ≤ k → ModularForm (Matrix.SpecialLinearGroup.mapGL ℝ).range ↑kNormalised Eisenstein series of level 1 and weight k,
here they have been scaled by 1/2 since we sum over coprime pairs.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 294 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Matrixstatement · cited by 4,303
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement · cited by 348
- MonoidHom.rangestatement · cited by 314
- Matrix.SpecialLinearGroup.mapGLstatement · cited by 98
- ModularFormstatement · cited by 98
- ModularForm.eisensteinSeriesMFproof · cited by 0
- ModularForm.copyproof · cited by 0
Cited by9
Results whose statement or proof uses this declaration.
- EisensteinSeries.E_qExpansion_coeffstatement and proof · cited by 3
- ModularForm.rank_eq_one_add_rank_cuspFormproof · cited by 3
- ModularForm.E₄proof · cited by 3
- ModularForm.E₆proof · cited by 3
- EisensteinSeries.E_qExpansion_coeff_zerostatement and proof · cited by 2
- EisensteinSeries.q_expansion_bernoullistatement and proof · cited by 1
- EisensteinSeries.q_expansion_riemannZetastatement and proof · cited by 1
- EisensteinSeries.E_ne_zerostatement and proof · cited by 0
- ModularForm.E.congr_simpstatement and proof · cited by 0