A note on the Waring–Goldbach problem
A note on the Waring–Goldbach problem
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关于韦林-哥德巴赫问题的注释
DOI:
10.1016/j.jnt.2009.07.006
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发表时间:
2010
影响因子:
0.7
通讯作者:
Jack Buttcane
中科院分区:
文献类型:
--
作者:
Jack Buttcane
The focus of this paper will be the extension of the Waring–Goldbach problem to all sufficiently large integers, without congruence restrictions. By reintroducing the effect of small primes, we are able to consider questions which more naturally resemble Waring's problem and the Goldbach conjecture. We extend the results of S.S. Pillai by considering the problem without the use of zero as an addend and we give a small improvement on the number of additional terms required.