Shane Chern

most citedPartitions and the maximal excludant

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.CO2019★ 1 cited

Partitions and the maximal excludant

Shane Chern

For each nonempty integer partition $π$ , we define the maximal excludant of $π$ to be the largest nonnegative integer smaller than the largest part of $π$ that is not a part of $π$ …

math.CO2017

Some inequalities for $k$ -colored partition functions

Shane Chern, Shishuo Fu, Dazhao Tang

Motivated by a partition inequality of Bessenrodt and Ono, we obtain analogous inequalities for $k$ -colored partition functions $p_{- k} (n)$ for all $k \geq 2$ . This enables us to ext…

Partitions and the maximal excludant

Some inequalities for k-colored partition functions

Some inequalities for $k$ -colored partition functions