Shuang Feng

activity

20202022

collaborators

3 papers

math.CA2022

Rational Solutions of First Order Algebraic Ordinary Differential Equations

Shuang Feng, Li-Yong Shen

Let $f (t, y, y^{'}) = \sum_{i = 0}^{n} a_{i} (t, y) y^{' i} = 0$ be an irreducible first order ordinary differential equation with polynomial coefficients. Eremenko in 1998 proved that there exists a c…

cs.SC2021

Quasi-equivalence of heights in algebraic function fields of one variable

Ruyong Feng, Shuang Feng, Li-Yong Shen

For points $(a, b)$ on an algebraic curve over a field $K$ with height $h$ , the asymptotic relation between $h (a)$ and $h (b)$ has been extensively s…

cs.SC2020

Rational Solutions of First Order Algebraic Ordinary Differential Equations

Ruyong Feng, Shuang Feng

Let $f (t, y, y^{'}) = \sum_{i = 0}^{d} a_{i} (t, y) y^{' i} = 0$ be a first order ordinary differential equation with polynomial coefficients. Eremenko in 1999 proved that there exists a constant $C$ …