For totally positive algebraic integers alpha not equal 0, 1 of degree d(alpha), we consider the set L of values of M(alpha)11/d(alpha) = Omega(alpha) where M(alpha) is the Mahler measure of alpha. C. J. Smyth has found the four smallest values of L and conjectured that the fifth point is Omega((2 cos 2 pi/60)(2)). We prove that this is so and, moreover, we give the sixth point of L. [References: 5]
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机译：对于完全不等于d（alpha）的0、1的正整数代数整数，我们认为M的值L的集合L 1 1 / dd =Omegaα，其中M [alpha]是马勒测量的阿尔法。 C. J. Smyth找到了L的四个最小值，并推测第五点是Omega（（2 cos 2 pi / 60）（2））。我们证明是这样，此外，我们给出L的第六点。[参考：5]
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