Classical approach to Ramanujan's modular equations of septic degree

被引：0

作者：

Vasuki, K. R. ^{[1
]}

Mahadevaswamy ^{[2
]}

机构：

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

[2] Natl Inst Engn, Dept Math, Mysore 570008, Karnataka, India

来源：

RAMANUJAN JOURNAL | 2020年 / 51卷 / 03期

关键词：

Ramanujan's general theta function; Modular equation;

D O I：

10.1007/s11139-018-0118-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove six Ramanujan's modular equations of septic degree by employing Ramanujan's 1 psi 1summation formula and certain theta function identities.

引用

页码：553 / 561

页数：9

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[3]

Ramanujan S., 1957, Notebooks (2 volumes)

[4] Ramanujan's Eisenstein series of level 7 and 14 [J].

Vasuki, K. R. ;

Veeresha, R. G. .

JOURNAL OF NUMBER THEORY, 2016, 159 :59-75

[5] On Ramanujan's modular equation of degree 7 [J].

Vasuki, K. R. ;

Veeresha, R. G. .

JOURNAL OF NUMBER THEORY, 2015, 153 :304-308

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