ALGEBRAIC STATEMENTS SIMILAR TO THOSE IN RAMANUJAN'S "LOST NOTEBOOK"

被引：0

作者：

Cooper, Curtis ^{[1
]}

机构：

[1] Univ Cent Missouri, Dept Math & Comp Sci, Warrensburg, MO 64093 USA

来源：

FIBONACCI QUARTERLY | 2014年 / 52卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ramanujan's "lost notebook" contains algebraic statements if g(4) = 5, then (5)root 3+2g - (5)root 4-4g/(5)root 3+2g + (5)root 4-4g =2 + g + g(2) + g(3), and if g(5) = 2, then root 1+g(2) = g(4) +g(3)+g-1/root 5 In this paper we will discover algebraic statements similar to those in Ramanujan's "lost notebook". For example, we will prove algebraic statements like if g(3) = 2, then (4)root 111-87g + (4)root g-1/(4)root 111-87g - (4)root g-1 = 2+g+g(2), and if g(5) = 2, then root-3g(2)+4g+5 = g(4)+g+1.

引用

页码：91 / 101

页数：11

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