On a conjecture by Boyd

Details On a conjecture by Boyd On a conjecture by Boyd

2009-08-11

arxiv.org/abs/0908.1435v1

Int. J. Number Theory 6, (2010), no. 3, 705--711

Mathematics

Number Theory

Scientific paper

10.1142/S1793042110003174

The aim of this note is to prove the Mahler measure identity
$m(x+x^{-1}+y+y^{-1}+5) = 6 m(x+x^{-1}+y+y^{-1}+1)$ which was conjectured by
Boyd. The proof is achieved by proving relationships between regulators of both
curves.

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