Cubic diophantine inequalities III

Cubic diophantine inequalities III
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DOI:
10.1023/a:1015269212362
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发表时间:
2001-02
影响因子:
0.8
通讯作者:
J. Brüdern
J. Brüdern
中科院分区:
数学4区
文献类型:
--
作者:
J. Brüdern

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In this paper, we continue our investigation of the distribution of the values of 1x 3 1 + 2x 3 2+sx 3 s at integer points when s = 7 and 8. Under suitable conditions on the real algebraic numbers s it is shown that for any real the inequality j 1x 3 1 +sx 3 s - j <(max j xj j )-has infinitely many integral solutions provided that 23 90 when s = 8; and 1 360 when s = 7