Shane Chern

activity

20142026

most citedLinked partition ideals and Kanade--Russell conjectures

20 citations · 135 across the 49 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.NT2019★ 5 cited

Nonmodular infinite products and a conjecture of Seo and Yee

Shane Chern

We will tackle a conjecture of S. Seo and A. J. Yee, which says that the series expansion of $1/ (q, - q^{3}; q^{4})_{\infty}$ has nonnegative coefficients. Our approach relies on an approxi…

math.CO2019

Linked partition ideals, directed graphs and $q$ -multi-summations

Shane Chern

Finding an Andrews--Gordon type generating function identity for a linked partition ideal is difficult in most cases. In this paper, we will handle this problem in the setting of g…

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.NT2019

Asymptotics for the Taylor coefficients of certain infinite products

Shane Chern

Let $(m_{1}, \dots, m_{J})$ and $(r_{1}, \dots, r_{J})$ be two sequences of $J$ positive integers satisfying $1 \leq r_{j} < m_{j}$ for all $j = 1, \dots, J$ . Let $(δ_{1}, \dots, δ_{J})$ be a sequence of $…

Nonmodular infinite products and a conjecture of Seo and Yee

Linked partition ideals, directed graphs and q-multi-summations

Partitions and the maximal excludant

Asymptotics for the Taylor coefficients of certain infinite products

Linked partition ideals, directed graphs and $q$ -multi-summations