Yong Zhang

activity

20122023

most citedHeron triangle and rhombus pairs with a common area and a common perimeter

3 citations · 10 across the 16 of their papers we have counts for

collaborators

Showing 2016Show all

5 papers · 1 filter

math.NT2016

Integers representable as the product of the sum of four integers with the sum of their reciprocals

Yong Zhang

By the theory of elliptic curves, we study the integers representable as the product of the sum of four integers with the sum of their reciprocals and give a sufficient condition f…

math.NT2016

On the Diophantine equations $z^{2} = f (x)^{2} \pm f (y)^{2}$ involving Laurent polynomials

Yong Zhang, Arman Shamsi Zargar

By the theory of elliptic curves, we study the nontrivial rational parametric solutions and rational solutions of the Diophantine equations $z^{2} = f (x)^{2} \pm f (y)^{2}$ for some simple…

math.NT2016

On the Diophantine equation $f (x) f (y) = f (z)^{n}$ involving Laurent polynomials

Yong Zhang

By the theory of elliptic curves, we investigate the nontrivial rational parametric solutions of the Diophantine equation $f (x) f (y) = f (z)^{n}$ , where $n = 1, 2$ and $f (X)$ are some simpl…

math.NT2016

Congruent numbers on the right trapezoid

Tianxin Cai, Yong Zhang

We introduce and study a new kind of congruent number problem on the right trapezoid.

math.NT2016

On the reducibility of some special quadrinomials

Yong Zhang, Huilin Zhu

Let $n > m > k$ be positive integers and let $a, b, c$ be nonzero rational numbers. We consider the reducibility of some special quadrinomials $x^{n} + a x^{m} + b x^{k} + c$ with $n = 4$ and 5, which r…

Integers representable as the product of the sum of four integers with the sum of their reciprocals

On the Diophantine equations z2=f(x)2±f(y)2 involving Laurent polynomials

On the Diophantine equation f(x)f(y)=f(z)n involving Laurent polynomials

Congruent numbers on the right trapezoid

On the reducibility of some special quadrinomials

On the Diophantine equations $z^{2} = f (x)^{2} \pm f (y)^{2}$ involving Laurent polynomials

On the Diophantine equation $f (x) f (y) = f (z)^{n}$ involving Laurent polynomials