Liuquan Wang

activity

20132026

most citedParity of coefficients of mock theta functions

12 citations · 48 across the 40 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.NT2015

Proof of a Conjecture on 6-colored Generalized Frobenius Partitions

Liuquan Wang

Let $c ϕ_{k} (n)$ be the $k$ -colored generalized Frobenius partition function. By employing the generating function of $c ϕ_{6} (3 n + 1)$ found by Hirschhorn, we prove that $cϕ_{6}(27n+1…

math.NT2015★ 1 cited

Explicit Formulas for Partition Pairs and Triples with 3-Cores

Liuquan Wang

Let $A_{3} (n)$ (resp. $B_{3} (n)$ ) denote the number of partition pairs (resp. triples) of $n$ where each partition is 3-core. By applying Ramanujan's $_{1} ψ_{1}$ formula and…

math.NT2015★ 3 cited

New Congruences on Multiple Harmonic Sums and Bernoulli Numbers

Liuquan Wang

Let $P_{n}$ denote the set of positive integers which are prime to $n$ . Let $B_{n}$ be the $n$ -th Bernoulli number. For any prime $p \geq 11$ and integer $r \geq 2$ , we pr…

math.NT2015★ 3 cited

Arithmetic Identities and Congruences for Partition Triples with 3-cores

Liuquan Wang

Let $B_{3} (n)$ denote the number of partition triples of $n$ where each partition is 3-core. With the help of generating function manipulations, we find several infinite famili…