Geodesic
Reciprocal Algebraic Integers Whose Mahler Measures are Non-Reciprocal
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 3-8

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

The Mahler measure M (α) of an algebraic integer α is the product of the moduli of the conjugates of α which lie outside the unit circle. A number α is reciprocal if α- 1 is a conjugate of α. We give two constructions of reciprocal a for which M (α) is non-reciprocal producing examples of any degree n of the form 2h with h odd and h ≥ 3, or else of the form with s ≥ 2. We give explicit examples of degrees 10, 14 and 20.
DOI : 10.4153/CMB-1987-001-0
Mots-clés : Primary 12A10, Secondary 12A55 
Boyd, David W. Reciprocal Algebraic Integers Whose Mahler Measures are Non-Reciprocal. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 3-8. doi: 10.4153/CMB-1987-001-0
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