A note on the values of Mahler measure in quadratic fields
Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1267-1277

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DOI

In this note, we prove that quadratic algebraic integers, except for trivial cases, are not Mahler measures of algebraic integers and we also answer in negative the question of A. Schinzel [9] whether $1+\sqrt {17}$ is a Mahler measure of an algebraic number.
DOI : 10.4153/S0008439525000451
Mots-clés : Mahler measure, quadratic algebraic numbers, polynomials
Dobrowolski, Edward; Wang, Yun. A note on the values of Mahler measure in quadratic fields. Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1267-1277. doi: 10.4153/S0008439525000451
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