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[Merged by Bors] - doc(Chebyshev): update TODO #34037

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YuvalFilmus wants to merge 3 commits into from
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[Merged by Bors] - doc(Chebyshev): update TODO #34037

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1f111f9
Update documentation
YuvalFilmus Jan 16, 2026
ba29e60
Merge branch 'master' into ChebyshevRootsExtremaDocs
YuvalFilmus Jan 16, 2026
6f0daea
Update TODO
YuvalFilmus Jan 16, 2026
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4 changes: 4 additions & 0 deletions Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/RootsExtrema.lean
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Expand Up @@ -22,6 +22,10 @@ import Mathlib.Analysis.SpecialFunctions.Trigonometric.Complex
* T_n(x) ∈ [-1, 1] iff x ∈ [-1, 1]: `abs_eval_T_real_le_one_iff`
* Zeroes of T and U: `roots_T_real`, `roots_U_real`
* Local extrema of T: `isLocalExtr_T_real_iff`, `isExtrOn_T_real_iff`

## TODO

Prove that the roots of the Chebyshev polynomials (except 0) are irrational.
-/

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2 changes: 0 additions & 2 deletions Mathlib/RingTheory/Polynomial/Chebyshev.lean
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Expand Up @@ -54,8 +54,6 @@ and do not have `map (Int.castRingHom R)` interfering all the time.

* Redefine and/or relate the definition of Chebyshev polynomials to `LinearRecurrence`.
* Add explicit formula involving square roots for Chebyshev polynomials
* Compute zeroes and extrema of Chebyshev polynomials.
* Prove that the roots of the Chebyshev polynomials (except 0) are irrational.
-/

@[expose] public section
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