Theorems · Theorem · number theory
FiniteField.two_pow_card
∀ {F : Type u_1} [inst : Fintype F] [inst_1 : Field F],
ringChar F ≠ 2 → 2 ^ (Fintype.card F / 2) = ↑(ZMod.χ₈ ↑(Fintype.card F))For every finite field F of odd characteristic, we have 2^(#F/2) = χ₈ #F in F.
- Defined in
- Mathlib.NumberTheory.GaussSum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites66
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Nat.Primeproof · cited by 2,059
Cited by1
Results whose statement or proof uses this declaration.
- quadraticChar_twoproof · cited by 3