Theorems · Definition · number theory
ModularForm.eta
ℂ → ℂ
The eta function, whose value at z is q^ 1 / 24 * ∏' 1 - q ^ (n + 1) for q = e ^ 2 π i z.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- SummationFilter.unconditionalproof · cited by 2,068
- tprodproof · cited by 230
- Function.Periodic.qParamproof · cited by 42
- ModularForm.eta_qproof · cited by 15
Cited by7
Results whose statement or proof uses this declaration.
- ModularForm.discriminantproof · cited by 20
- ModularForm.eta_ne_zerostatement · cited by 2
- ModularForm.logDeriv_eta_eq_E2statement · cited by 1
- ModularForm.eta_comp_eq_csqrt_I_invstatement and proof · cited by 1
- ModularForm.differentiableAt_eta_of_mem_upperHalfPlaneSetstatement · cited by 1
- E2_mdifferentiableproof · cited by 1
- ModularForm.discriminant_S_invariantproof · cited by 0