| 两个素数平方、四个素数立方和2的整数幂* |
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| 引用本文： | 吕晓东.两个素数平方、四个素数立方和2的整数幂*[J].数学年刊A辑(中文版),2022,43(1):103-112. |
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| 作者姓名： | 吕晓东 |
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| 作者单位： | 扬州大学数学科学学院, 江苏 扬州 225002. |
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| 基金项目： | 中国博士后科学基金 (No.2017M621829), 江苏省博士后科学基金(No.1701142C)和江苏省高校自然科学研究项目(No.18KJB110032) |
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| 摘 要： | 本文中, 作者考虑了 Linnik 型的非齐次幂的Waring-Goldbach问题.具体地说, 作者证明了所有充分大的偶数都可以表示成两个素数的平方、四个素数的立方和18个2的正整数幂之和的形式.这改进了Zhao的结果, 即需要43个2的正整数幂.
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| 关 键 词： | Waring-Goldbach 问题 圆法 2的正整数幂 |
| 收稿时间： | 2019/10/9 0:00:00 |
| 修稿时间： | 2021/9/25 0:00:00 |
Two Prime Squares, Four Prime Cubes and Powers of 2 |
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| Xiaodong.Two Prime Squares, Four Prime Cubes and Powers of 2[J].Chinese Annals of Mathematics,2022,43(1):103-112. |
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| Authors: | Xiaodong |
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| Institution: | School of Mathematical Science, Yangzhou University,Yangzhou 225002, Jiangsu, China. |
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| Abstract: | The author considers Linnik''s type of the Waring-Goldbach problem with unequal powers of primes. In particular,he shows that every sufficiently large even integer can be represented as a sum of two squares of primes,four cubes of primes and 18 powers of 2. This improves Zhao''s result, which 43 powers of 2 is acceptable. |
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| Keywords: | Waring-Goldbach problem Circle method Powers of 2 |
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