Dazhao Tang

activity

20162026

most citedGeneralizing a partition theorem of Andrews

17 citations · 47 across the 25 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.CO2017

Congruences modulo powers of 5 for $k$ -colored partitions

Dazhao Tang

Let $p_{- k} (n)$ enumerate the number of $k$ -colored partitions of $n$ . In this paper, we establish some infinite families of congruences modulo 25 for $k$ -colored partitions. Furth…

math.CO2017

New congruences for broken $k$ -diamond partitions

Dazhao Tang

The notion of broken $k$ -diamond partitions was introduced by Andrews and Paule. Let $Δ_{k} (n)$ denote the number of broken $k$ -diamond partitions of $n$ for a fixed positive integ…

math.CO2017★ 1 cited

On a generalized crank for $k$ -colored partitions

Shishuo Fu, Dazhao Tang

A generalized crank ( $k$ -crank) for $k$ -colored partitions is introduced. Following the work of Andrews-Lewis and Ji-Zhao, we derive two results for this newly defined $k$ -crank. N…

math.CO2017

On certain weighted 7-colored partitions

Shane Chern, Dazhao Tang

Inspired by Andrews' 2-colored generalized Frobenius partitions, we consider certain weighted 7-colored partition functions and establish some interesting Ramanujan-type identities…

math.CO2017★ 17 cited

Generalizing a partition theorem of Andrews

Shishuo Fu, Dazhao Tang

Motivated by Andrews' recent work related to Euler's partition theorem, we consider the set of partitions of an integer $n$ where the set of even parts has exactly $j$ elements, ve…

Congruences modulo powers of 5 for k-colored partitions

New congruences for broken k-diamond partitions

On a generalized crank for k-colored partitions

On certain weighted 7-colored partitions

Generalizing a partition theorem of Andrews

Congruences modulo powers of 5 for $k$ -colored partitions

New congruences for broken $k$ -diamond partitions

On a generalized crank for $k$ -colored partitions