Some evaluations of Ramanujan's cubic continued fraction

被引：0

作者：

Bhargava, S ^{[1
]}

Vasuki, KR

Sreeramamurthy, TG

机构：

[1] Univ Mysore, Dept Studies Math, Mysore 570006, Karnataka, India

[2] Acharya Inst Technol, Dept Math, Bangalore 560090, Karnataka, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2004年 / 35卷 / 08期

关键词：

theta-functions; modular equations; continued fractions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As a sequel to some recent works of Berndt and Baruah and Saikia we evaluate G(e(-Pirootn)) for certain values of n where G(q) is the cubic continued fraction G(q) = q(1/3)/1 + q+q(2)/1 + q(2)+q(4)/1 + ... of Ramajunan's. The required modular identities are also obtained.

引用

页码：1003 / 1025

页数：23

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