We present two infinite families of generalized Lambert series identities, and deduce several known identities from them. They include an identity due to M. Jackson, a corollary of Ramanujan's 1ψ1-summation formula, and a recent identity of G. E. Andrews, R. P. Lewis and Z.-G. Liu. 2000 Mathematics Subject Classification 33D15, 11D85.
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Song Heng Chan (2005) studied this question.
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