Work

Identities and transformations for Lambert series and double Lambert series

Year: 2026

Type: preprint

Abstract: We establish two identities for Lambert series and double Lambert series, thereby resolving conjectures of Andrews, Dixit, Schultz and Yee (Acta Arith.~181:253--286, 2017), as well as Amdeberhan, Andrews and Ballantine (J Combin Theory Series A 221:106154, 2026). The proofs are based on classical transformations in the theory of infinite series together with a systematic rearrangement of double Lambert series.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.08839

Authors: Cui, Su-Ping, Tang, Dazhao

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Chongqing Municipal Education Commission

Awards: G4232081210, G4485992713

OpenAlex ID: W7154147995

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