The Ronkin number of an exponential sum

Mathematics – Complex Variables

Scientific paper

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22 pages, 5 figures

Scientific paper

We give an intrinsic estimate of the number of connected components of the
complementary set to the amoeba of an exponential sum with real spectrum
improving the result of Forsberg, Passare and Tsikh in the polynomial case and
that of Ronkin in the exponential one.

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