中文

Exponential Gelfond-Khovanskii formula in dimension one

复变函数 2012-02-03 v1

摘要

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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引用

@article{arxiv.math/0312433,
  title  = {Exponential Gelfond-Khovanskii formula in dimension one},
  author = {Evgenia Soprunova},
  journal= {arXiv preprint arXiv:math/0312433},
  year   = {2012}
}

备注

8 pages, 1 figure