Theorems · Definition · number theory
jacobiTheta
ℂ → ℂ
Jacobi's one-variable theta function ∑' (n : ℤ), exp (π * I * n ^ 2 * τ).
- Cited by
- 11 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.
Cites7
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
- Real.piproof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- tsumproof · cited by 1,148
- Complex.Iproof · cited by 866
- Complex.expproof · cited by 612
Cited by11
Results whose statement or proof uses this declaration.
- jacobiTheta_eq_jacobiTheta₂statement · cited by 3
- differentiableAt_jacobiThetastatement · cited by 2
- hasSum_nat_jacobiThetastatement and proof · cited by 1
- norm_jacobiTheta_sub_one_lestatement · cited by 1
- jacobiTheta_eq_tsum_natstatement and proof · cited by 1
- jacobiTheta_two_addstatement · cited by 1
- isBigO_at_im_infty_jacobiTheta_sub_onestatement and proof · cited by 0
- mdifferentiable_jacobiThetastatement · cited by 0
- continuousAt_jacobiThetastatement · cited by 0
- jacobiTheta_S_smulstatement and proof · cited by 0
- jacobiTheta_T_sq_smulstatement and proof · cited by 0