On the Rational Points of the Curve $f(X,Y)^q = h(X)g(X,Y)$

Canadian mathematical bulletin

关键词: Matrix valued orthogonal polynomials;    unit circle;    Schur complements;    recurrence relations;    kernel polynomials;    Christoffel-Darboux;   

DOI  :  10.4153/CMB-2009-014-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $q = 2,3$ and $f(X,Y)$, $g(X,Y)$, $h(X)$ be polynomials withinteger coefficients. In this paper we deal with the curve$f(X,Y)^q = h(X)g(X,Y)$, and we show that under some favourableconditions it is possible to determine all of its rational points.

【 授权许可】

Unknown