Ke-Jian Wu

activity

20042023

collaborators

3 papers

math-ph2023

3D Boson representation of affine Yangian of $gl (1)$ and 3D cut-and-join operators

Na Wang, Can Zhang, Ke Wu

We have constructed 3D Bosons. In this paper, we show the 3D Bosonic Fock space, which is isomorphic to the vector space of 3D Young diagrams as graded vector spaces. We use 3D Bos…

math.NT2007

Covers of the integers with odd moduli and their applications to the forms $x^{m} - 2^{n}$ and $x^{2} - F_{3 n} /2$

Ke-Jian Wu, Zhi-Wei Sun

In this paper we construct a cover {a_s(mod n_s)}_{s=1}^k of Z with odd moduli such that there are distinct primes p_1,...,p_k dividing 2^{n_1}-1,...,2^{n_k}-1 respectively. Using…

math.CO2004

An extension of a curious binomial identity

Zhi-Wei Sun, Ke-Jian Wu

In 2002 Zhi-Wei Sun [Integers 2(2002)] published a curious identity involving binomial coefficients. In this paper we present a generalization of the identity.

3D Boson representation of affine Yangian of gl(1) and 3D cut-and-join operators

Covers of the integers with odd moduli and their applications to the forms xm−2n and x2−F3n​/2

An extension of a curious binomial identity

3D Boson representation of affine Yangian of $gl (1)$ and 3D cut-and-join operators

Covers of the integers with odd moduli and their applications to the forms $x^{m} - 2^{n}$ and $x^{2} - F_{3 n} /2$