New Theorems on Theta-Function Analogues and Explicit Evaluations of Ramanujan's Remarkable Product

被引：0

作者：

Kumar, S. Vasanth ^{[1
]}

机构：

[1] Seshadripuram Inst Technol, Dept Math, Mysuru, India

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2025年 / 43卷

关键词：

Class invariant; Modular equation; Theta function; Cubic continued fraction; CONTINUED-FRACTION;

D O I：

10.5269/bspm.64393

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define Vm,n in this article by using Ramanujan's product of theta functions (-q) and f(-q2), which are analogues to Ramanujan's amazing product of theta functions. For explicit evaluations of Vm,n, we prove general theorems.

引用

页数：9

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