Exponential Gelfond-Khovanskii formula in dimension one

Details Exponential Gelfond-Khovanskii formula in dimension one Exponential Gelfond-Khovanskii formula in dimension one

2003-12-23

arxiv.org/abs/math/0312433v1

Proc. Amer. Math. Soc. 136 (2008), 239-245

Mathematics

Complex Variables

8 pages, 1 figure

Scientific paper

Gelfond and Khovanskii found a formula for the sum of the values of a Laurent
polynomial over the zeros of a system of n Laurent polynomials in the algebraic
n-torus. We expect that a similar formula holds in the case of exponential sums
with real frequencies. Here we prove such a formula in dimension 1.

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