The k-higher Mahler measure of a non-zero polynomial P is the integral of log k |P| on the unit circle. In this note, we consider Lehmer’s question (which is a long-standing open problem for k=1) for k>1 and find some interesting formulas for 2- and 3-higher Mahler measure of cyclotomic polynomials.
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机译：非零多项式P的k高的马勒测度是log k | P |的积分。在单位圆上在本说明中，我们考虑了k> 1的Lehmer问题（对于k = 1来说是一个长期存在的开放性问题），并为环多项式的2级和3级马勒测度找到了一些有趣的公式。
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