ON PYTHAGOREAN TRIPLES CONTAINING A FIXED INTEGER

被引：0
|
作者：
Tripathi, Amitabha [1 ]
机构：
[1] Indian Inst Technol, Dept Math, New Delhi 110016, India
来源：
FIBONACCI QUARTERLY | 2008年 / 46-47卷 / 04期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a given positive integer n, we determine explicit formulas for the number of occurrences of n as a part of a Pythagorean triple, and also as a part of a primitive Pythagorean triple. We also determine the least positive integer that is a part of at least n such primitive triples and obtain several conditions that help in characterizing the analogous case for all triples.
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页码：331 / 340
页数：10
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