A triple product identity for the three-parameter cubic theta function

被引：0

作者：

Bhargava, S ^{[1
]}

Anitha, N ^{[1
]}

机构：

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

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2005年 / 36卷 / 09期

关键词：

theta functions; cubic theta functions; elliptic functions; q-series;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish in a simple self contained manner a triple product identity for the cubic theta function a(q,zeta z)= (m=-infinity)Sigma(infinity) (n=-infinity)Sigma(infinity) (qm2+mn+n2 zeta n+mzn-m) We also determine on our way a two-parameter family of zeros of a (q, zeta z).

引用

页码：471 / 477

页数：7

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