Mathlib Map

Theorems · Theorem · number theory

SlashInvariantForm.T_zpow_width_invariant

∀ (N : ℕ) (k n : ℤ)
  (f : SlashInvariantForm (Subgroup.map (Matrix.SpecialLinearGroup.mapGL ℝ) (CongruenceSubgroup.Gamma N)) k)
  (z : UpperHalfPlane), f (ModularGroup.T ^ (↑N * n) • z) = f z
Defined in
Mathlib.NumberTheory.ModularForms.Identities
Cited by
1 results in Mathlib
Foundations
Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF · cited by 1EisensteinSeries.isBounde…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealComplex · cited by 5565ComplexMatrix · cited by 4303MatrixHVAdd.hVAdd · cited by 1820HVAdd.hVAddUpperHalfPlane · cited by 626UpperHalfPlaneMatrix.GeneralLinearGroup · cited by 556Matrix.GeneralLinearGroupInt.cast_natCast · cited by 393Int.cast_natCastMatrix.SpecialLinearGroup · cited by 348Matrix.SpecialLinearGroupSubgroup.map · cited by 301Subgroup.mapInt.cast_mul · cited by 113Int.cast_mulMatrix.SpecialLinearGroup.mapGL · cited by 98SpecialLinearGroup.mapGLModularGroup.T · cited by 48ModularGroup.TSlashInvariantForm · cited by 46SlashInvariantFormCongruenceSubgroup.Gamma · cited by 31CongruenceSubgroup.GammaSlashInvariantForm.T_zpow_wid…CITED BYCITES

Cites17

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.