Liuquan Wang

activity

20142024

most citedA Curious Congruence Involving Alternating Harmonic Sums

5 citations · 16 across the 12 of their papers we have counts for

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math.NT2023

Modularity of Nahm Sums for the Tadpole Diagram

Antun Milas, Liuquan Wang

We prove Rogers-Ramanujan type identities for the Nahm sums associated with the tadpole Cartan matrix of rank $3$ . These identities reveal the modularity of these sums, and thereby…

math.NT2014★ 2 cited

A New Super Congruence Involving Multiple Harmonic Sums

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 $p \geq 5$ and $r \geq 2$ , we prove that \…

math.NT2014★ 1 cited

Arithmetic Properties of Overpartition Triples

Liuquan Wang

Let $p_{3} (n)$ be the number of overpartition triples of $n$ . By elementary series manipulations, we establish some congruences for $p_{3} (n)$ modulo smal…

math.NT2014★ 5 cited

A Curious Congruence Involving Alternating Harmonic Sums

Liuquan Wang

Let $p$ be a prime and $P_{p}$ the set of positive integers which are prime to $p$ . We establish the following interesting congruence \[\sum\limits_{\begin{smallmatrix}…

math.NT2014★ 3 cited

A short Proof of a conjecture by Hirschhorn and Sellers on Overpartitions

Liuquan Wang

Let $p (n)$ be the number of overpartitions of $n$ , we establish and give a short elementary proof of the following congruence \[\overline{p}({{4}^{α}}(40n+35))\equiv 0 \…

math.NT2014

New Congruences of Partitions With Odd Parts Distinct

Liuquan Wang

Let $pod (n)$ denote the number of partitions of $n$ with odd parts distinct, and $r_{k} (n)$ be the number of representations of $n$ as sum of $k$ squares. We find the…