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Integer points on a curve and the plane Jacobian problem

Volume 88 / 2006

Nguyen Van Chau Annales Polonici Mathematici 88 (2006), 53-58 MSC: Primary 14R15. DOI: 10.4064/ap88-1-4

Abstract

A polynomial map 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.

Authors

  • Nguyen Van ChauInstitute of Mathematics
    18 Hoang Quoc Viet Road
    10307 Hanoi, Vietnam
    e-mail

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