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A ternary
additive problem involving fractional powers
Raymond Luo and Gang Yu
Vol. 15 (2022), No. 4, 629–640
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Abstract |
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We identify real numbers , as large as possible, such that every large integer can be expressed as where are positive integers. We also consider the cases with one or two of from a sparse subset of positive integers. |
Keywords
fractional powers, Diophantine equation, exponential sum
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Mathematical Subject Classification
Primary: 11D85
Secondary: 11L07
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Milestones
Received: 1 February 2021
Revised: 10 January 2022
Accepted: 19 January 2022
Published: 7 January 2023
Communicated by Kenneth S. Berenhaut
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Authors |
| Raymond Luo | |
| Montgomery Blair High School Silver Spring, MD United States |
Carnegie Mellon University Pittsburgh, PA United States |
| Gang Yu | |
| Department of Mathematical
Sciences Kent State University Kent, OH United States |
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