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

Authors
Andrews, GE Lewis, R Liu, ZG
Citation
Ge. Andrews et al., An identity relating a theta function to a sum of Lambert series, B LOND MATH, 33, 2001, pp. 25-31
Citations number
9
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
33
Year of publication
2001
Part
1
Pages
25 - 31
Database
ISI
SICI code
0024-6093(200101)33:<25:AIRATF>2.0.ZU;2-Y
Abstract
We derive an identity connecting a theta function and a sum of Lambert seri es. As a consequence of this identity, we deduce a number of results of Jac obi, Dirichlet, Lorenz, Ramanujan and Rademacher.