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arXiv · 2605.28393

Transformation Formulae and Applications for Double Lambert Series

Rong Chen·Tianjian Xu
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Abstract

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.

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BibTeXRIS

Rong Chen, Tianjian Xu. 2026-05-27. Transformation Formulae and Applications for Double Lambert Series. https://arxiv.org/abs/2605.28393

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