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Theorems · Theorem · number theory

EisensteinSeries.eisensteinSeriesSIF_apply

∀ {N : ℕ} (a : Fin 2 → ZMod N) (k : ℤ) (z : UpperHalfPlane),
  (EisensteinSeries.eisensteinSeriesSIF a k) z = eisensteinSeries a k z
Defined in
Mathlib.NumberTheory.ModularForms.EisensteinSeries.Defs
Cited by
3 results in Mathlib
Foundations
Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF · cited by 1EisensteinSeries.isBounde…EisensteinSeries.q_expansion_riemannZeta · cited by 1EisensteinSeries.q_expans…EisensteinSeries.eisensteinSeries_SIF_apply · cited by 0EisensteinSeries.eisenste…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealComplex · cited by 5565ComplexMatrix · cited by 4303MatrixZMod · cited by 1024ZModUpperHalfPlane · cited by 626UpperHalfPlaneMatrix.GeneralLinearGroup · cited by 556Matrix.GeneralLinearGroupMatrix.SpecialLinearGroup · cited by 348Matrix.SpecialLinearGroupSubgroup.map · cited by 301Subgroup.mapMatrix.SpecialLinearGroup.mapGL · cited by 98SpecialLinearGroup.mapGLSlashInvariantForm · cited by 46SlashInvariantFormCongruenceSubgroup.Gamma · cited by 31CongruenceSubgroup.GammaeisensteinSeries · cited by 8eisensteinSeriesEisensteinSeries.eisensteinSeriesSIF · cited by 8EisensteinSeries.eisenste…EisensteinSeries.eisensteinSe…CITED BYCITES

Cites14

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Cited by3

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