On the Double Lambert Series Conjecture of Andrews-Dixit--Schultz-Yee
Qianwen Fang
TL;DR
This paper completes the proof of a conjecture regarding the parity of a double Lambert series, advancing understanding in this mathematical area.
Contribution
It finalizes the proof of the Andrews-Dixit--Schultz-Yee conjecture on double Lambert series parity.
Findings
Confirmed the conjecture's validity.
Provided a complete proof of the conjecture.
Enhanced understanding of Lambert series properties.
Abstract
Andrews, Dixit, Schultz, and Yee conjecture the parity of a double Lambert series. In 2026, Amdeberhan, Andrews, and Ballantine offer some ideas that are pointing in the right direction for the proof. In this paper, we complete the rest of their proof.
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