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

George E. Andrews; Richard Lewis; Zhi Guo Liu

doi:10.1112/blms/33.1.25

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

George E. Andrews^*
, Richard Lewis
, Zhi Guo Liu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	25-31
Number of pages	7
Journal	Bulletin of the London Mathematical Society
Volume	33
Issue number	1
DOIs	https://doi.org/10.1112/blms/33.1.25
State	Published - Jan 2001
Externally published	Yes

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title = "An identity relating a theta function to a sum of Lambert series",

abstract = "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.",

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AU - Lewis, Richard

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AB - 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.

UR - https://www.scopus.com/pages/publications/0035226459

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DO - 10.1112/blms/33.1.25

M3 - 文章

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SN - 0024-6093

VL - 33

SP - 25

EP - 31

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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

Abstract

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