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).
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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).