Sheng Chen

most citedOn the Ring of Integer-valued Quasi-polynomials

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

collaborators

4 papers

math.RA2007

On Algebraic Shift Equivalence of Matrices over Polynomial Rings

Sheng Chen

The paper studies algebraic strong shift equivalence of matrices over $n$ -variable polynomial rings over a principal ideal domain $D$ ( $n \leq 2$ ). It is proved that in the case $n=1…

math.CO2007★ 1 cited

On a Conjecture about the Number of Solutions to Linear Diophantine Equations with a Positive Integer Parameter

Sheng Chen, Nan Li

Let A(n) be a $k \times s$ matrix and $m (n)$ be a $k$ dimensional vector, where all entries of A(n) and $m (n)$ are integer-valued polynomials in $n$ . Suppose that $$t(m(n)|A(n))=#\{…

math.NT2007★ 1 cited

On Popoviciu type tormulas for generalized restricted partition function

Nan Li, Sheng Chen

Suppose that $a_{1} (n), a_{2} (n), ..., a_{s} (n), m (n)$ are integer-valued polynomials in $n$ with positive leading coefficients. This paper presents Popoviciu type formulas for the generaliz…

math.NT2007★ 2 cited

On the Ring of Integer-valued Quasi-polynomials

Nan Li, Sheng Chen

The paper studies some properties of the ring of integer-valued quasi-polynomials. On this ring, theory of generalized Euclidean division and generalized GCD are presented. Applica…