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Bibliographic Details
Main Authors: Chen, Rong, Xu, Tianjian
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.28393
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Table of Contents:
  • In this paper, we study a class of double Lambert series and establish several identities and transformation relations for them. These formulae provide useful tools for reducing certain double Lambert series to single Lambert series. As applications, we derive identities related to recent conjectures of Andrews, Dixit, Schultz, and Yee, and of Amdeberhan, Andrews, and Ballantine. We also propose a new proof of a result of Amdeberhan, Andrews, and Ballantine.