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
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D O I：
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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.
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页码：91 / 101
页数：11
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