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

页码：847 / 854

页数：8

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