Dazhao Tang

activity

20172019

m

-falling partitions

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2019★ 1 cited

A lecture hall theorem for $m$ -falling partitions

Shishuo Fu, Dazhao Tang, Ae Ja Yee

For an integer $m \geq 2$ , a partition $λ = (λ_{1}, λ_{2}, \dots)$ is called $m$ -falling, a notion introduced by Keith, if the least nonnegative residues mod $m$ of $λ_{i}$ 's form a nonincrea…

math.CO2018★ 1 cited

Several $q$ -series related to Ramanujan's theta functions

Dazhao Tang, Ernest. X. W. Xia

Quite recently, the first author investigated vanishing coefficients of the arithmetic progressions in several $q$ -series expansions. In this paper, we further study the signs of c…

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…

A lecture hall theorem for m-falling partitions

Several q-series related to Ramanujan's theta functions

Some inequalities for k-colored partition functions

A lecture hall theorem for $m$ -falling partitions

Several $q$ -series related to Ramanujan's theta functions

Some inequalities for $k$ -colored partition functions