Timothy Flowers of the Mathematics Department has published “An m-ary partition generalization of a past Putnam problem” in the Australasian Journal of Combinatorics, Volume 72, number 2 (2018).
The article, co-authored by James Sellers (Pennsylvania State University)
and Scott Neville (a recent graduate of the University of Utah and a current Churchill Scholar), generalizes a Putnam
problem from 1983 to yield a result involving integer partitions into powers of
m and also establishes a bijection to another known family of
partitions. The William Lowell Putnam Mathematical Competition began in
1938 and is now the leading university-level mathematics examination in the
Flowers’ article cites results from the master's thesis of Laura
Rucci (MS Applied Mathematics, 2016). Flowers served as Thesis Committee
chairperson for Rucci.
The article is available online at the Australasian Journal of Combinatorics website.