Cubic diophantine inequalities

Cubic diophantine inequalities
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DOI:
10.1112/s0025579300014583
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发表时间:
1982-06
期刊:
影响因子:
0.8
通讯作者:
Roger Baker;J. Brüdern;Trevor D. Wooley
Roger Baker;J. Brüdern;Trevor D. Wooley
中科院分区:
数学3区
文献类型:
--
作者:
Roger Baker;J. Brüdern;Trevor D. Wooley

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The result is somewhat analogous with Linnik's theorem [7] that Rlti(ji), the number of representations of n as the sum of seven cubes, is positive for large n. However, a proof of the above theorem only became a feasible prospect with the appearance of Vaughan's work [10,11,12]. Vaughan used the HardyLittlewood method to give a good lower bound for Ri,i{n) [10], and then a lower bound of the expected order of magnitude [12], that is,