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

George E. Andrews, Richard Lewis, Zhi Guo Liu

Research output: Contribution to journalArticle

19 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)25-31
Number of pages7
JournalBulletin of the London Mathematical Society
Volume33
Issue number1
DOIs
StatePublished - Jan 2001

Fingerprint

Lambert Series
Theta Functions
Ramanujan
Jacobi
Dirichlet
Deduce

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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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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An identity relating a theta function to a sum of Lambert series. / Andrews, George E.; Lewis, Richard; Liu, Zhi Guo.

In: Bulletin of the London Mathematical Society, Vol. 33, No. 1, 01.2001, p. 25-31.

Research output: Contribution to journalArticle

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