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On Waring's Problem for Cubes and Fifth Power

On Waring's Problem for Cubes and Fifth Power
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摘要 It is shown that almost all natural numbers can be expressed as the sum of three cubes aud one fifth power of natural numbers. To be more precise, we have E(N)<<N^(1-19/2163+),where E(N) is the number of natural numbers not exceeding N and not being the sum of three cubes and one fifth power. It is shown that almost all natural numbers can be expressed as the sum of three cubes aud one fifth power of natural numbers. To be more precise, we haveE(N)&lt;&lt;N<sup>1-19/2163+</sup>,where E(N) is the number of natural numbers not exceeding N and not being the sum of three cubes and one fifth power.
作者 陆鸣皋
出处 《Science China Mathematics》 SCIE 1993年第6期641-662,共22页 中国科学:数学(英文版)
基金 Project supported by the National Natural science Foundation of China
关键词 additive theory SUM of HIGHER POWERS HARDY-LITTLEWOOD method. additive theory, sum of higher powers, Hardy-Littlewood method.
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