Geodesic
Mahler’s Measure and the Dilogarithm (I)
Canadian journal of mathematics, Tome 54 (2002) no. 3, pp. 468-492

Voir la notice de l'article provenant de la source Cambridge University Press

An explicit formula is derived for the logarithmic Mahler measure $m(P)$ of $P(x,\,y)\,=\,P(x)y-q(x)$ , where $p(x)$ and $q(x)$ are cyclotomic. This is used to find many examples of such polynomials for which $m(P)$ is rationally related to the Dedekind zeta value ${{\text{ }\!\!\zeta\!\!\text{ }}_{F}}(2)$ for certain quadratic and quartic fields.
DOI : 10.4153/CJM-2002-016-9
Mots-clés : 11G40, 11R06, 11Y35 
Boyd, David W.; Rodriguez-Villegas, Fernando. Mahler’s Measure and the Dilogarithm (I). Canadian journal of mathematics, Tome 54 (2002) no. 3, pp. 468-492. doi: 10.4153/CJM-2002-016-9
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