On simultaneous additive equations II.
On simultaneous additive equations II.
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关于联立加性方程II。
DOI：
10.1515/crll.1991.419.141
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
T. Wooley
中科院分区：
文献类型：
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作者：
T. Wooley
与Wooley b[22]一样，如果方程（1.1）在/?中有非平凡解，我们说方程（1.1）满足ihsp-adic溶解度条件。-进位整数（即不全为零的解）。如果方程满足每个有理数的/j-进溶解度条件/？，那么我们说它们满足同余条件。然后定义Γ * (k) = Γ * (ki9…， kt)是最小的整数r，使得对于所有的s 2> r和所有的cy (l: s ι /, l ^ 7 g s)，式（1.1）满足同余条件。
As in Wooley [22], we say that the equations (1.1) satisfy ihsp-adic solubility condition if they have a non-trivial solution in /?-adic integers (i. e. a solution with not all the xt zero). If the equations satisfy the/j-adic solubility condition for every rational prime/?, then we say that they satisfy the congruence condition. We then define Γ * (k) = Γ * (ki9 . . . , kt) to be the least integer r such that for all s 2> r, and all cy (l :S ι ̂ /, l ^ 7 g s), the equations (1.1) satisfy the congruence condition.