Machine learning the arithmetic of Boyd's Mahler measure conjectures

Alberto Alfarano, Pablo Bianucci, Matilde N. Lal\'ın +1

Boyd conjectured that the Mahler measure of $P_k(x,y)=x+y+\frac{1}{x}+\frac{1}{y}+k$ for $k$ an integer, is given by $r_k{L}^{\prime }(E_k,0)$, where $E_k$ is the elliptic curve associated to…