A note on a hypercubic Mahler measure and associated Bessel Integral

preprint2012arXivOpen access

Abstract

The Mahler measure for the n-variable polynomial k+∑(xj+1/xj)k+\sum(x_j+1/x_j) is reduced to a single integral of the n-th power of the modified Bessel function I0I_0. Several special cases are examined in detail

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