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А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 22, 2017 16:20, Moscow, Steklov Mathematical Institute
 


On cubic exponential sums with a small cubic coefficient

G. Hiary

Department of Mathematics, Ohio State University
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G. Hiary
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Abstract: An explicit asymptotic expansion for cubic exponential sums is derived. The expansion is most useful when the cubic coefficient is in a restricted range. This generalizes previous results in the quadratic case, and helps clarify how to numerically approximate cubic exponential sums and how to obtain upper bounds for them.

Language: English

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