Theorems · Theorem · number theory
SlashInvariantFormClass.periodic_comp_ofComplex
∀ {k : ℤ} {F : Type u_1} [inst : FunLike F UpperHalfPlane ℂ] {Γ : Subgroup (GL (Fin 2) ℝ)} {h : ℝ} (f : F)
[SlashInvariantFormClass F Γ k], h ∈ Γ.strictPeriods → Function.Periodic (⇑f ∘ ↑UpperHalfPlane.ofComplex) ↑h- Cited by
- 11 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- add_zeroproof · cited by 2,707
- FunLikestatement and proof · cited by 2,560
- HVAdd.hVAddproof · cited by 1,820
- Complex.ofRealstatement and proof · cited by 1,654
- add_commproof · cited by 1,535
- OpenPartialHomeomorph.toFun'statement · cited by 745
Cited by11
Results whose statement or proof uses this declaration.
- ModularFormClass.analyticAt_cuspFunction_zeroproof · cited by 14
- ModularForm.isCuspForm_iff_coeffZero_eq_zeroproof · cited by 2
- ModularFormClass.exp_decay_sub_atImInfty'proof · cited by 1
- ModularForm.qExpansion_eq_zero_iffproof · cited by 1
- ModularFormClass.qExpansion_coeff_eq_intervalIntegralproof · cited by 1
- ModularForm.isZeroAtImInfty_of_valueAtInfty_eq_zeroproof · cited by 1
- ModularForm.isZeroAt_of_coeffZero_eq_zeroproof · cited by 1
- SlashInvariantFormClass.eq_cuspFunctionproof · cited by 1
- CuspFormClass.exp_decay_atImInftyproof · cited by 1
- ModularForm.hasSum_qExpansionproof · cited by 0
- ModularFormClass.differentiableAt_cuspFunctionproof · cited by 0