Exponential Gelfond–Khovanskii formula in dimension one
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- by Evgenia Soprunova PDF
- Proc. Amer. Math. Soc. 136 (2008), 239-245 Request permission
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.References
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Additional Information
- Evgenia Soprunova
- Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
- Email: soprunova@math.kent.edu
- Received by editor(s): October 25, 2006
- Published electronically: October 5, 2007
- Communicated by: Juha M. Heinonen
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 239-245
- MSC (2000): Primary 30C15
- DOI: https://doi.org/10.1090/S0002-9939-07-09091-0
- MathSciNet review: 2350409