Ho-Hon Leung

activity

20132022

most citedNumerical computing in engineering mathematics

3 citations · 11 across the 11 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.RA2018

A remark on commutative subalgebras of Grassmann algebra

Ho-Hon Leung

Let $n = 4 k + 1$ and $k \geq 4$ . We show that there exists maximal commutative subalgebras (with respect to inclusion) of dimension less that $3 \cdot 2^{n - 2}$ .

math.CO2018

On a generalization of the Pentagonal Number Theorem

Ho-Hon Leung

We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain infinite series, recurrence relations and convolutio…

math.CO2018

Determinants containing powers of polynomial sequences

Ho-Hon Leung

We derive identities for the determinants of matrices whose entries are (rising) powers of (products of) polynomials that satisfy a recurrence relation. In particular, these result…

math.RA2018

Maximal commutative subalgebras of a Grassmann algebra

Victor A. Bovdi, Ho-Hon Leung

We investigate the structure of maximal commutative subalgebras of the finite dimensional Grassmann algebra over a field of characteristic different from two.

math.CO2018★ 1 cited

Another Identity for Complete Bell Polynomials based on Ramanujan's Congruences

Ho-Hon Leung

Let $p (n)$ be the number of partition of a positive integer $n$ . We derive a new identity for complete Bell polynomials based on a generating function of $p (7 n + 5)$ given by Ramanuj…