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- W2963778321 abstract "Let t be any integer and fix an odd prime ℓ. Let Φ(x)=T ℓ n (x)-t denote the n-fold composition of the Chebyshev polynomial of degree ℓ shifted by t. If this polynomial is irreducible, let K=ℚ(θ), where θ is a root of Φ. We use a theorem of Dedekind in conjunction with previous results of the author to give conditions on t that ensure K is monogenic. For other values of t, we apply a result of Guàrdia, Montes, and Nart to obtain a formula for the discriminant of K and compute an integral basis for the ring of integers 𝒪 K ." @default.
- W2963778321 created "2019-07-30" @default.
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- W2963778321 date "2014-01-01" @default.
- W2963778321 modified "2023-10-13" @default.
- W2963778321 title "Discriminants of Chebyshev radical extensions" @default.
- W2963778321 doi "https://doi.org/10.5802/jtnb.882" @default.
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