On the intervals between numbers that are sums of two squares. III.
On the intervals between numbers that are sums of two squares. III.
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DOI：
10.1515/crll.1974.267.207
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发表时间：
1974
期刊：
影响因子：
--
通讯作者：
H. Trotter;C. Hooley;S. Lang
中科院分区：
文献类型：
--
作者：
H. Trotter;C. Hooley;S. Lang
在本系列的第三个回忆录我们将注意力转向以下问题数据的分布,可表现的年代两个正方形的总和:-(我)的确定的实际数量级的数量之间的间隔整数年代,躺在x, x + h虽小而x: (u)的确定的实际数量级的数量对这样的整数s1 ?s2不超过x，差一个给定的正常数k，为了讨论第一个问题，设
In this the third memoir of the series we turn our attention to the following problems concerning the distribution of the numbers s that are expressible s the sum of two squares: — (i) the determination of the actual order of magnitude of the number of such integers s that lie in the interval between x and x + A, where h may be small compared with x: (u) the determination of the actual order of magnitude of the number of pairs of such integers s1? s2 not exceeding x that differ by a given positive constant k. To discuss the first question let