Theorems · Definition · number theory
ZMod.stdAddChar
{N : ℕ} → [NeZero N] → AddChar (ZMod N) ℂThe additive character from ZMod N to ℂ, sending j mod N to exp (2 * π * I * j / N).
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
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.
- Complexstatement · cited by 5,565
- ZModstatement · cited by 1,024
- AddCharstatement · cited by 286
- ZMod.toCircleproof · cited by 14
- MonoidHom.compAddCharproof · cited by 7
- Circle.coeHomproof · cited by 2
Cited by20
Results whose statement or proof uses this declaration.
- DirichletCharacter.rootNumberproof · cited by 3
- ZMod.dft_apply_zeroproof · cited by 1
- ZMod.dft_const_smulproof · cited by 1
- ZMod.dft_defstatement · cited by 1
- ZMod.dft_smul_constproof · cited by 1
- DirichletCharacter.fourierTransform_eq_gaussSum_mulShiftstatement and proof · cited by 1
- ZMod.invDFT_applystatement and proof · cited by 1
- ZMod.LFunction_dftproof · cited by 1
- DirichletCharacter.IsPrimitive.fourierTransform_eq_inv_mul_gaussSumstatement and proof · cited by 1
- ZMod.stdAddChar_applystatement · cited by 1
- ZMod.LFunction_stdAddChar_eq_expZetastatement and proof · cited by 1
- ZMod.isPrimitive_stdAddCharstatement and proof · cited by 1