Proves the coefficient of q^{N 2^a} in the double sum equals sigma_1(N) via transformation to a single sum and a new representation of E2(q).
On the Double Lambert Series Conjecture of Andrews-Dixit--Schultz-Yee
1 Pith paper cite this work. Polarity classification is still indexing.
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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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On a conjecture of Amdeberhan, Andrews and Ballantine for double Lambert series
Proves the coefficient of q^{N 2^a} in the double sum equals sigma_1(N) via transformation to a single sum and a new representation of E2(q).