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Certain products of sums of Lambert series

General Mathematics 2024-08-26 v3

Abstract

Using elementary means, we prove an identity giving the infinite product form of a sum of Lambert series originally stated by Venkatachaliengar, then rediscovered by Andrews, Lewis, and Liu. Then we derive two identities expressing certain products of sums of Lambert series.

Keywords

Cite

@article{arxiv.2408.01763,
  title  = {Certain products of sums of Lambert series},
  author = {Aung Phone Maw},
  journal= {arXiv preprint arXiv:2408.01763},
  year   = {2024}
}

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