The Numbers of Representations of Integers in Certain Forms ax 2 + by 2 + cz 2

The Numbers of Representations of Integers in Certain Forms ax 2 + by 2 + cz 2
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DOI:
10.1080/00029890.1924.11986311
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发表时间:
1924-03
影响因子:
0.5
通讯作者:
E. Bell
E. Bell
中科院分区:
数学4区
文献类型:
--
作者:
E. Bell

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N(n=ar+by2+cz2)的唯一其他特殊结果似乎是Liouville(1869)对于情形(a,b,c)=(1,2,3)的一个未经证明的断言,以及(a,b,c)=(1,1,2)(Torelli,1878)和(a,b,c)=(1,2,2)(Srieltjes,1883)的不完全结果。1
The only other specific results for N (n= ar+ by2+ cz2) appear to be an unproved assertion of Liouville (1869) for the case (a, b, c)=(1, 2, 3), and incomplete results for (a, b, c)=(1, 1, 2)(Torelli, 1878), and (a, b, c)=(1, 2, 2)(Srieltjes, 1883). 1