Theorems · Definition · group theory
AddChar.zmod
(n : ℕ) → [NeZero n] → ZMod n → AddChar (ZMod n) Circle
Indexing of the complex characters of ZMod n. AddChar.zmod n x is the character sending y
to e ^ (2 * π * i * x * y / n).
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 203 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement and proof · cited by 1,024
- AddMonoidHom.compproof · cited by 339
- AddCharstatement · cited by 286
- Circlestatement · cited by 227
- AddCircle.toCircleproof · cited by 41
- ZMod.toAddCircleproof · cited by 32
- AddMonoidHom.mulLeftproof · cited by 23
- AddChar.compAddMonoidHomproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- AddChar.zmod_injectivestatement and proof · cited by 1
- AddChar.zmod_intCaststatement · cited by 1
- AddChar.zmod_zerostatement and proof · cited by 0
- AddChar.zmodAddEquiv_applystatement · cited by 0
- AddChar.zmod.congr_simpstatement and proof · cited by 0
- AddChar.zmodHomproof · cited by 0
- AddChar.zmod_addstatement · cited by 0
- AddChar.zmod_injstatement · cited by 0