Li Zhang

collaborators

4 papers

math.CO2015

Congruences on the Number of Restricted $m$ -ary Partitions

Qing-Hu Hou, Hai-Tao Jin, Yan-Ping Mu +1

Andrews, Brietzke, Rødseth and Sellers proved an infinite family of congruences on the number of the restricted $m$ -ary partitions when $m$ is a prime. In this note, we show that t…

math.CO2015

Ramanujan-type Congruences for $ℓ$ -Regular Partitions Modulo $3, 5, 11$ and $13$

Hai-Tao Jin, Li Zhang

Let $b_{ℓ} (n)$ be the number of $ℓ$ -regular partitions of $n$ . Recently, Hou et al established several infinite families of congruences for $b_{ℓ} (n)$ modulo $m$ , where $(\ell…

math.CO2014

Ramanujan-type Congruences for Overpartitions Modulo 16

William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun +1

Let $p (n)$ denote the number of overpartitions of $n$ . Recently, Fortin-Jacob-Mathieu and Hirschhorn-Sellers independently obtained 2-, 3- and 4-dissections of the gener…

math.CO2014

Ramanujan-type Congruences for Overpartitions Modulo 5

William Y. C. Chen, Lisa H. Sun, Rong-Hua Wang +1

Let $p (n)$ denote the number of overpartitions of $n$ . Hirschhorn and Sellers showed that $p (4 n + 3) \equiv 0 (mod 8)$ for $n \geq 0$ . They also conjectured that…

Congruences on the Number of Restricted m-ary Partitions

Ramanujan-type Congruences for ℓ-Regular Partitions Modulo 3,5,11 and 13

Ramanujan-type Congruences for Overpartitions Modulo 16

Ramanujan-type Congruences for Overpartitions Modulo 5

Congruences on the Number of Restricted $m$ -ary Partitions

Ramanujan-type Congruences for $ℓ$ -Regular Partitions Modulo $3, 5, 11$ and $13$