Integer points on a curve and the plane Jacobian problem
Nguyen Van Chau
Annales Polonici Mathematici, Tome 89 (2006), p. 53-58 / Harvested from The Polish Digital Mathematics Library
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A polynomial map F = (P,Q) ∈ ℤ[x,y]² with Jacobian JF:=PxQy-PyQx≡1 has a polynomial inverse with integer coefficients if the complex plane curve P = 0 has infinitely many integer points.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280845 
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Nguyen Van Chau. Integer points on a curve and the plane Jacobian problem. Annales Polonici Mathematici, Tome 89 (2006) pp. 53-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-1-4/