On the Distribution of Primitive Lattice Points in the Plane

On the Distribution of Primitive Lattice Points in the Plane
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DOI:
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发表时间:
1959
期刊:
Canadian mathematical bulletin
影响因子:
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通讯作者:
P. Erdos
P. Erdos
中科院分区:
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文献类型:
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作者:
J. Chalk;P. Erdos

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设1,θ1, θ2,…,θn是有理域上线性无关的实数设α1, α2,…,αn是任意实数。然后,对于每个N > 0和ε > 0,都有对应的整数满足不等式A的集合
Let 1,θ1, θ2, …,θn be real numbers linearly independent over the rational field and let α1, α2,…, αn be arbitrary real numbers. Then, to each N > 0 and ε > 0, there correspond integers which satisfy the set of inequalities A