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

Mathematics

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 (US)
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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/blms/33.1.25

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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

AU - Liu, Zhi Guo

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

Abstract

All Science Journal Classification (ASJC) codes

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