Email this article Asymptotics and Formulas for Cubic Exponential Sums
- Authors: Hiary G.A.1
-
Affiliations:
- Department of Mathematics
- Issue: Vol 299, No 1 (2017)
- Pages: 78-95
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175119
- DOI: https://doi.org/10.1134/S0081543817080053
- ID: 175119
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Abstract
Several asymptotic expansions and formulas for cubic exponential sums are derived. The expansions are most useful when the cubic coefficient is in a restricted range. This generalizes previous results in the quadratic case and helps to clarify how to numerically approximate cubic exponential sums and how to obtain upper bounds for them in some cases.
About the authors
Ghaith A. Hiary
Department of Mathematics
Author for correspondence.
Email: hiary.1@osu.edu
United States, 231 West 18th Ave., Columbus, OH, 43210
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