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Exponential Gelfond-Khovanskii formula in dimension one
Authors:Evgenia Soprunova
Affiliation:Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
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 $ (mathbb{C}setminus 0)^n$. We expect that a similar formula holds in the case of exponential sums with real frequencies. Here we prove such a formula in dimension one.

Keywords:Exponential sums   mean value   mean number of zeros
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