Sums of almost equal prime cubes |
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Authors: | F Zhao |
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Institution: | 1.School of Mathematics,Shandong University,Ji’nan,P. R. China |
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Abstract: | We prove that almost all integers N satisfying some necessary congruence conditions are the sum of j almost equal prime cubes with j = 5; 6; 7; 8, i.e., N = p
13 + ... + p
j
3 with |p
i
− (N/j)1/3| ≦ $
N^{1/3 - \delta _j + \varepsilon }
$
N^{1/3 - \delta _j + \varepsilon }
(1 ≦ i ≦ j), for δ
j
= 1/45; 1/30; 1/25; 2/45, respectively. |
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Keywords: | |
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