Theorems · Theorem · number theory
eisSummand_of_gammaSet_eq_divIntMap
∀ (k : ℤ) (z : UpperHalfPlane) {n : ℕ} (v : ↑(EisensteinSeries.gammaSet 1 n 0)),
EisensteinSeries.eisSummand k (↑v) z = (↑n ^ k)⁻¹ * EisensteinSeries.eisSummand k (EisensteinSeries.divIntMap ↑n ↑v) z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Complexstatement · cited by 5,565
- mul_assocproof · cited by 1,667
- ZModstatement · cited by 1,024
- UpperHalfPlanestatement and proof · cited by 626
- mul_addproof · cited by 413
- Int.cast_natCastproof · cited by 393
- UpperHalfPlane.coeproof · cited by 288
- zpow_negproof · cited by 198
- Int.cast_mulproof · cited by 113
- EisensteinSeries.gammaSetstatement and proof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeriesproof · cited by 1