2026/08/02 by Shane Chern, Dennis Eichhorn, Shishuo Fu +1
Mathematics · #math.CO #math.NT #msc:11B83 #msc:05A15 #msc:05A17
17 pages, 2 tables
arxiv created 2026/08/02 · arxiv updated 2026/08/04
In recent work, the authors defined a sequence (an)n≥ 0 to be m-convolutive exactly if ∑n≥ 0 amn qn = (∑n≥ 0 an qn)m for a specific positive integer m and provided proofs of the 2- and 3-convolutivity of a small number of sequences arising from primitive eta-products. Since the completion of that work, the authors have discovered many new instances of convolutive eta-products. The main focus of this work is to unify all but one of these instances in a parametric way.