AdditiveCharacter.lean`

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Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 0 contain sorry, 0 declared as axioms

Imports (1)

Mathlib.Analysis.SpecialFunctions.Complex.Circle

Imported by 1 file

FormalConjecturesForMathlib.lean

def additiveChar The additive character e(x) = e ^ (2 * π * i * x), a shorthand used across several exponential-sum problems line 24 source
Source documentation
The additive character e(x) = e ^ (2 * π * i * x), a shorthand used across several exponential-sum problems.

standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Real, Complex
Proof uses: Complex.exp, HMul.hMul, OfNat.ofNat, Real.pi, Complex.I
7 instances, coercions and auxiliary constants left out.
```
noncomputable def additiveChar (x : ℝ) : ℂ := Complex.exp ((2 * Real.pi * x : ℝ) * Complex.I)
…
```