Mahler Measure of "Almost" Reciprocal Polynomials

2017/09/22 by Saunders, J. C.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1709.07906

Abstract

Here we give a lower bound of the Mahler measure on a set of polynomials that are "almost" reciprocal. Here "almost" reciprocal means that the outermost coefficients of each polynomial mirror each other in proportion, while this pattern breaks down for the innermost coefficients.

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• The alternative to Mahler measure of a multivariate polynomial
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• Some examples of Mahler measures as multiple polylogarithms
• Mahler measures of polynomials that are sums of a bounded number of\n monomials