Reprint: On the rational points on curves of genus one (1934)

  • Kurt Mahler


Let be an irreducible polynomial with rational coefficients and suppose that defines a curve of genus one with infinitely many rational points lying on it. In this paper, Mahler shows that given a finite set of prime numbers, there are only finitely many rational points on the curve such that or has all its prime factors in .

Reprint of the author's paper [J. Reine Angew. Math. 170, 168--178 (1934; Zbl 0008.20002; JFM 60.0159.03)].