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Decomposition of the Sum of Cubes, the Sum Raised to the Power of Four and Codeviance
《Applied Mathematics》2020年第10期1013-1020,共8页Fabio Manca Claudia Marin 
The purpose of this paper is to achieve decomposition formulas of sums regarding deviation cubes, the sum of deviation raised to the power of four and codeviance, because they allow to evaluate the contribution of dif...
关键词：Decomposition Formulas Deviation Cubes Codeviance Decomposition 
DENSITY OF INTEGERS THAT ARE THE SUM OF FOUR CUBES OF PRIMES被引量：2
《Chinese Annals of Mathematics,Series B》2001年第2期233-242,共10页REN XIUMIN School of Economics, Shandong University, Jinan 250100, China. 
Project supported by the National Natural Science Foundation of China (No.10041004) and the ThansCentury naming Programme Foun
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.
关键词：Waring-Goldbach problem Hardy-Littlewood method Sieve methods 
Waring's problem for cubes and biquadrates
《Science China Mathematics》1995年第3期257-266,共10页陆鸣皋 余红兵 
Project supported by the National Natural Science Foundation of China.
Let r(n) denote the number of representations of n as the sums of 5 cubes and 3 biquadra-tes of natural numbers. Then for all sufficiently large n, one has r(n)(?)n17/12, which is the expected order of magnitude of r(n).
关键词：ADDITIVE theory SUM of HIGHER POWERS HARDY-LITTLEWOOD method. 
On Waring's Problem for Cubes and Fifth Power
《Science China Mathematics》1993年第6期641-662,共22页陆鸣皋 
Project supported by the National Natural science Foundation of China
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)<
关键词：additive theory SUM of HIGHER POWERS HARDY-LITTLEWOOD method. 
On Waring's Problem for Cubes and Fifth Power
《Chinese Science Bulletin》1993年第6期448-454,共7页陆鸣皋 
Project supported by the National Natural Science Foundation of China.
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 com...
关键词：additive theory SUM of HIGHER POWER applications of HARDY-LITTLEWOOD method. 
ON WARING'S PROBLEM FOR CUBES AND HIGHER POWERS
《Chinese Science Bulletin》1992年第17期1414-1416,共3页陆鸣皋 
Project supported by the National Natural Science Foundation of China.
In the present report, we further improve the pruning technique in the Hardy-Littlewood method and advance a new method by which Vaughan’s p-adic iterative technique is applied to the problem of sums of mixed powers....
关键词：ADDITIVE theory SUM of HIGHER POWERS applications of HARDY-LITTLEWOOD method. 
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