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Theorems · Theorem · number theory

SlashInvariantForm.vAdd_width_periodic

∀ (N : ℕ) (k n : ℤ)
  (f : SlashInvariantForm (Subgroup.map (Matrix.SpecialLinearGroup.mapGL ℝ) (CongruenceSubgroup.Gamma N)) k)
  (z : UpperHalfPlane), f (↑N * ↑n +ᵥ z) = f z
Defined in
Mathlib.NumberTheory.ModularForms.Identities
Cited by
1 results in Mathlib
Foundations
Depth 182 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.

SlashInvariantForm.T_zpow_width_invariant · cited by 1SlashInvariantForm.T_zpow…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealComplex · cited by 5565ComplexMatrix · cited by 4303Matrixmul_comm · cited by 2262mul_commHVAdd.hVAdd · cited by 1820HVAdd.hVAddUpperHalfPlane · cited by 626UpperHalfPlaneMatrix.GeneralLinearGroup · cited by 556Matrix.GeneralLinearGroupMatrix.SpecialLinearGroup · cited by 348Matrix.SpecialLinearGroupSubgroup.map · cited by 301Subgroup.mapzsmul_eq_mul · cited by 120zsmul_eq_mulMatrix.SpecialLinearGroup.mapGL · cited by 98SpecialLinearGroup.mapGLSlashInvariantForm · cited by 46SlashInvariantFormCongruenceSubgroup.Gamma · cited by 31CongruenceSubgroup.GammaCongruenceSubgroup.strictPeriods_Gamma · cited by 2CongruenceSubgroup.strict…SlashInvariantForm.vAdd_width…CITED BYCITES

Cites16

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Cited by1

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