2 citations · 3 across the 5 of their papers we have counts for
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Signed Partitions and Rogers-Ramanujan type Identities
Abdulaziz M. Alanazi, Augustine O. Munagi, Andrew V. Sills
George Andrews [\emph{Bull. Amer. Math. Soc.}, 2007, 561--573] introduced the idea of a \emph{signed partiton} of an integer; similar to an ordinary integer partitions, but where s…
"Overpartitionized" Rogers--Ramanujan type identities
Abdulaziz Alanazi, Augustine O. Munagi, Andrew V. Sills
Many classical -series identities, such as the Rogers--Ramanujan identities, yield combinatorial interpretations in terms of integer partitions. Here we consider algebraically m…
On the -factorization of power series
Robert Schneider, Andrew V. Sills, Hunter Waldron
Any power series with unit constant term can be factored into an infinite product of the form . We give direct formulas for the exponents in t…
Computational study of non-unitary partitions
A. P. Akande, Tyler Genao, Summer Haag +4
Following Cayley, MacMahon, and Sylvester, define a non-unitary partition to be an integer partition with no part equal to one, and let denote the number of non-unitary part…