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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.28393 |
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| _version_ | 1866910266622476288 |
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| author | Chen, Rong Xu, Tianjian |
| author_facet | Chen, Rong Xu, Tianjian |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28393 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Transformation Formulae and Applications for Double Lambert Series Chen, Rong Xu, Tianjian Number Theory 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. |
| title | Transformation Formulae and Applications for Double Lambert Series |
| topic | Number Theory |
| url | https://arxiv.org/abs/2605.28393 |