Integer points on a curve and the plane Jacobian problem
Annales Polonici Mathematici, Tome 88 (2006) no. 1, pp. 53-58.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A polynomial map $F=(P,Q)\in {\mathbb Z} [x,y]^2$ with Jacobian $JF:=P_xQ_y-P_yQ_x\equiv 1$ has a polynomial inverse with integer coefficients if the complex plane curve $P=0$ has infinitely many integer points.
DOI : 10.4064/ap88-1-4
Keywords: polynomial map mathbb jacobian y p equiv has polynomial inverse integer coefficients complex plane curve has infinitely many integer points

Nguyen Van Chau 1

1 Institute of Mathematics 18 Hoang Quoc Viet Road 10307 Hanoi, Vietnam
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Nguyen Van Chau. Integer points on a curve and 
the plane Jacobian problem. Annales Polonici Mathematici, Tome 88 (2006) no. 1, pp. 53-58. doi : 10.4064/ap88-1-4. http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-4/

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