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Correction to the
article Uniform bounds of the Piltz divisor problem over
number fields
Wataru Takeda |
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Vol. 311 (2021), No. 2, 505–509
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Correction to Pacific Journal of Mathematics 301:2 (2019) 601–616 |
Abstract |
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The article in question gave an upper bound for the Piltz divisor problem over number fields, using estimates of exponential sums. It contained some mistakes. Here we correct these inaccurate claims and give a uniform upper bound for the Piltz divisor problem. |
Keywords
ideal counting function, exponential sum, Piltz divisor
problem
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Mathematical Subject Classification
Primary: 11N37
Secondary: 11R42
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Milestones
Received: 1 August 2020
Revised: 9 August 2020
Accepted: 13 August 2020
Published: 31 July 2021
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Authors |
| Wataru Takeda | |
| Department of Mathematics Nagoya University Chikusa-ku Nagoya 464-8602 Japan |
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