On Waring's Problem for Cubes and Fifth Power  

On Waring's Problem for Cubes and Fifth Power

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作  者:陆鸣皋 

机构地区:[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, PRC

出  处:《Chinese Science Bulletin》1993年第6期448-454,共7页

基  金:Project supported by the National Natural Science Foundation of China.

摘  要:In his work on Waring’s problem for cubes and biquadrates,Brüdern has established the following: Almost all natural numbers can be expressed as the sum of three cubes and a biquadrate of natural numbers. This is comparable with Davenport’s result that almost all natural numbers are the sum of four cubes of natural numbers. We observe that one can apply Vaughan’s p-adic iterative technique to problem

关 键 词:additive theory SUM of HIGHER POWER applications of HARDY-LITTLEWOOD method. 

分 类 号:N[自然科学总论]

 

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