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We study Laurent polynomials in any number of variables that are sums of at most k monomials. We first show that the Mahler measure of such a polynomial is at least h/2, where h is the height of the… (More)

We prove Lawton’s conjecture about the upper bound on the measure of the set on the unit circle on which a complex polynomial with a bounded number of coeõcients takes small values. Namely, we prove… (More)

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where a0 is the leading coefficient of f , and the product runs over all its (possibly multiple) zeros. Although the question of Lehmer, whether Mahler’s measure of a polynomial with integral… (More)

During two seasonal sampling events in spring (June) and fall (August) of 2015, the U.S. Geological Survey collected benthos (benthic invertebrates) and plankton (zooplankton and phytoplankton) at… (More)