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The constant term of the minimal polynomial of \(\cos(2{\pi}/n)\) over \(\mathbb Q\). (English) Zbl 1302.12004

Summary: Let \(H(\lambda_q)\) be the Hecke group associated to \(\lambda_q = 2 \cos \frac{\pi}{q}\) for \(q \geq 3\) integer. In this paper, we determine the constant term of the minimal polynomial of \(\lambda_q\) denoted by \(P^\ast_q (x)\).

MSC:

12E05 Polynomials in general fields (irreducibility, etc.)
11F06 Structure of modular groups and generalizations; arithmetic groups
20H05 Unimodular groups, congruence subgroups (group-theoretic aspects)
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References:

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