A Cube as (Almost) a Sum of Two Cubes A Remarkable Identity of S Ramanujan

被引：0
|
作者：
Yogananda, C. S. [1 ]
机构：
[1] SJ Coll Engn, Dept Math, Mysore 570006, Karnataka, India
来源：
RESONANCE-JOURNAL OF SCIENCE EDUCATION | 2012年 / 17卷 / 09期
关键词：
Recurrence relations; (power series) expansions; polynomials; quadratic forms;
D O I：
10.1007/s12045-012-0095-7
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
It is known that one cannot write an integer cube as a sum of two integer cubes (Fermat's Last Theorem). The number 1728 (= 12(3)) comes close to being the sum of two cubes, but falls short by 1. An entry in Srinivasa Ramanujan's Lost Notebook gives a remarkable identity which provides infinitely many such examples. This article discusses a proof of this identity, as also another similar identity.
引用
收藏
页码：847 / 854
页数：8
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