An identity relating a theta function to a sum of Lambert series

被引：21

作者：

Andrews, GE

Lewis, R

Liu, ZG

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Xinxiang Educ Coll, Dept Math, Xinxiang 453000, Henan, Peoples R China

[3] Univ Sussex, Dept Math Sci, Brighton BN1 9RH, E Sussex, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2001年 / 33卷

关键词：

D O I：

10.1112/blms/33.1.25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive an identity connecting a theta function and a sum of Lambert series. As a consequence of this identity, we deduce a number of results of Jacobi, Dirichlet, Lorenz, Ramanujan and Rademacher.

引用

页码：25 / 31

页数：7

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