Hai-Tao Jin

activity

20112025

most citedAbel's Lemma and Identities on Harmonic Numbers

4 citations · 5 across the 6 of their papers we have counts for

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5 papers · 1 filter

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★ 4 cited

Abel's Lemma and Identities on Harmonic Numbers

Hai-Tao Jin, Daniel K. Du

Recently, Chen, Hou and Jin used both Abel's lemma on summation by parts and Zeilberger's algorithm to generate recurrence relations for definite summations. Meanwhile, they propos…

math.CO2012

On the Number of Partitions with Designated Summands

William Y. C. Chen, Kathy Q. Ji, Hai-Tao Jin +1

Andrews, Lewis and Lovejoy introduced the partition function PD(n) as the number of partitions of $n$ with designated summands, where we assume that among parts with equal size, ex…

math.CO2011

Formal residue and computer proofs of combinatorial identities

Qing-Hu Hou, Hai-Tao Jin

The coefficient of x^{-1} of a formal Laurent series f(x) is called the formal residue of f(x). Many combinatorial numbers can be represented by the formal residues of hypergeometr…