Theorems · Definition · number theory
EisensteinSeries.eisSummand
ℤ → (Fin 2 → ℤ) → UpperHalfPlane → ℂ
The function on (Fin 2 → ℤ) whose sum defines an Eisenstein series.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.coeproof · cited by 288
Cited by17
Results whose statement or proof uses this declaration.
- EisensteinSeries.e2Summandproof · cited by 9
- eisensteinSeriesproof · cited by 8
- EisensteinSeries.summable_norm_eisSummandstatement and proof · cited by 4
- eisSummand_of_gammaSet_eq_divIntMapstatement · cited by 1
- summable_prod_eisSummandstatement and proof · cited by 1
- tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeriesstatement and proof · cited by 1
- tsum_eisSummand_eq_tsum_sigma_mul_cexp_powstatement and proof · cited by 1
- EisensteinSeries.norm_le_tsum_normstatement and proof · cited by 1
- EisensteinSeries.q_expansion_riemannZetaproof · cited by 1
- EisensteinSeries.e2Summand_evenproof · cited by 1
- EisensteinSeries.eisSummand_SL2_applystatement · cited by 1
- EisensteinSeries.eisSummand_extension_differentiableOnstatement and proof · cited by 1