Theorems · Definition · number theory
eisensteinSeries
{N : ℕ} → (Fin 2 → ZMod N) → ℤ → UpperHalfPlane → ℂAn Eisenstein series of weight k and level Γ(N), with congruence condition a.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Complexstatement · cited by 5,565
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- ZModstatement and proof · cited by 1,024
- UpperHalfPlanestatement and proof · cited by 626
- EisensteinSeries.gammaSetproof · cited by 20
- EisensteinSeries.eisSummandproof · cited by 15
Cited by9
Results whose statement or proof uses this declaration.
- EisensteinSeries.eisensteinSeriesSIFproof · cited by 8
- EisensteinSeries.eisensteinSeriesSIF_applystatement · cited by 3
- EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIFproof · cited by 1
- tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeriesstatement and proof · cited by 1
- EisensteinSeries.eisensteinSeries_slash_applystatement and proof · cited by 1
- EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlystatement · cited by 1
- EisensteinSeries.norm_le_tsum_normstatement · cited by 1
- EisensteinSeries.q_expansion_riemannZetaproof · cited by 1
- EisensteinSeries.eisensteinSeries_SIF_applystatement · cited by 0