Theorems · Definition · complex analysis
Function.Periodic.qParam
ℝ → ℂ → ℂ
Parameter for q-expansions, qParam h z = exp (2 * π * I * z / h)
- Defined in
- Mathlib.Analysis.Complex.Periodic
- Cited by
- 42 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Real.piproof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- Complex.Iproof · cited by 866
- Complex.expproof · cited by 612
Cited by44
Results whose statement or proof uses this declaration.
- ModularForm.eta_qproof · cited by 15
- UpperHalfPlane.norm_exp_two_pi_I_lt_oneproof · cited by 7
- Function.Periodic.norm_qParamstatement · cited by 6
- ModularForm.etaproof · cited by 6
- UpperHalfPlane.norm_qParam_lt_onestatement · cited by 5
- UpperHalfPlane.qParam_tendsto_atImInftystatement · cited by 5
- ModularForm.discriminant_eq_q_prodstatement and proof · cited by 4
- UpperHalfPlane.eq_cuspFunctionstatement and proof · cited by 4
- Function.Periodic.eq_cuspFunctionstatement and proof · cited by 4
- EisensteinSeries.E_qExpansion_coeffproof · cited by 3
- ModularForm.tendsto_atImInfty_tprod_one_sub_eta_q_powproof · cited by 3
- Function.Periodic.qParam_ne_zerostatement · cited by 3