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math.NT2026
Two Proofs of a Conjecture of Amdeberhan, Andrews and Ballantine for double Lambert series and a new Representation for
Su-Ping Cui, Rahul Kumar, Aman Singh
In this note, we prove a recent conjecture of Amdeberhan, Andrews and Ballantine concerning a double Lambert series (\textit{J. Combin. Theory Series A} \textbf{221} (2026), Paper…
math.NT2013★ 1 cited
Congruences for the dots bracelet partition functions
Suping Cui, Nancy S. S. Gu
By finding the congruent relations between the generating function of the 5 dots bracelet partitions and that of the 5-regular partitions, we get some new congruences modulo 2 for…