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Exponential Gelfond-Khovanskii formula in dimension one

Evgenia Soprunova
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Abstract

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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Evgenia Soprunova. 2003-12-23. Exponential Gelfond-Khovanskii formula in dimension one. https://arxiv.org/abs/math/0312433

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