In this paper we prove that the Mahler measures of the Laurent polynomials
(x+xâ1)(y+yâ1)(z+zâ1)+k, (x+xâ1)2(y+yâ1)2(1+z)3zâ2âk,
and x4+y4+z4+1+k1/4xyz, for various values of k, are of the form r1âLâČ(f,0)+r2âLâČ(Ï,â1), where r1â,r2ââQ, f is a CM newform of
weight 3, and Ï is a quadratic character. Since it has been proved that
these Maher measures can also be expressed in terms of logarithms and
5âF4â-hypergeometric series, we obtain several new hypergeometric evaluations
and transformations from these results