| DENSITY OF INTEGERS THAT ARE THE SUM OF FOUR CUBES OF PRIME |
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| 作者姓名： | REN Xiumin |
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| 作者单位： | REN XIUMIN School of Economics，Shandong University，Jinan 250100，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10041004) and the
ThansCentury naming Programme Foun |
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| 摘 要： | gi. IntroductionIt is conjectured that all sufficielltly large integers e satisfying some necessaly congruenceconditions are the sum of four cubes of primes, i.e.(see e.g. 1]). Such a strong conjecture is out of reach at present; but it is reasonable, inview of the following results of Hua and Davenport respectively. A theorem of Hua3'4] statesthst almost all positive integers, with t * 0, 12(mod 9) are the sum of five cubes of praies,while DavenPOrt's result in 12] asserts that almost all…
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| 关 键 词： | 华林-歌德巴赫问题 逐步淘汰法 哈代-李特尔伍德方法 正整数 |
| 收稿时间： | 1999/10/8 0:00:00 |
| 修稿时间： | 5/6/2000 12:00:00 AM |
Density of Integers That Are the Sum of Four Cubes of Primes |
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| REN Xiumin.DENSITY OF INTEGERS THAT ARE THE SUM OF FOUR CUBES OF PRIME[J].Chinese Annals of Mathematics,Series B,2001,22(2):233-242. |
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| Authors: | REN Xiumin |
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| Institution: | School of Economics, Shandong University, |
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| Abstract: | Using the circle method and sieves, the author proves that a positive proportion of positive integers can be represented as the sum of four cubes of primes. |
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| Keywords: | Waring-Goldbach problem Hardy-Littlewood method Sieve methods |
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