1819 Serge Lang: Old and new conjectured diophantine inequalities. Bull. AMS 23 (1990), 37-75. Around the abc-conjecture. 1887 Serge Lang: Some theorems and conjectures in diophantine equations. Bull. AMS 66 (1960), 240-249. 1920 L. Mordell: Review of Lang's "Diophantine geometry". Bull. AMS 70 (1964), 491-498. 1883 Serge Lang: Review of Mordell's "Diophantine equations". Bull. AMS 76 (1970), 1230-1234. 1890 Serge Lang: Higher dimensional diophantine problems. Bull. AMS 80 (1974), 779-787. 2043 T. Cochrane: The diophantine equation f(x)=g(x). Proc. AMS 109 (1990), 573-577. 1888 A. Ogg: Diophantine equations and modular forms. Bull. AMS 81 (1975), 14-27. 1990 S. Bloch: The proof of the Mordell conjecture. Math. Intell. 6/2 (1984), 41-47. 1858 Gerd Faltings: Die Vermutungen von Tate und Mordell. Jber. DMV 86 (1984), 1-13. 3322 L. Szpiro (ed.): Seminaire sur les pinceaux arithmetique: la conjecture de Mordell. Asterisque 127 (1985). (unvollst.) 1859 Gerd Faltings: Endlichkeitssaetze fuer abelsche Varietaeten ueber Zahlkoerpern. Inv. Math. 73 (1983), 349-366. 2054 V. Kolyvagin: On the Mordell-Weil group and the Shafarevich-Tate group of modular elliptic curves. MPI Mathematik Bonn 69/1990. 1885 Serge Lang: Integral points on curves. Publ. IHES 6 (1960), 27-43. 1889 Serge Lang: Hyperbolic and diophantine analysis. Bull. AMS 14 (1986), 159-205. 1962 S. Schanuel: Heights in number fields. Bull. SMF 107 (1979), 433-449. 1919 Joseph Silverman: Lower bound for the canonical height on elliptic curves. Duke Math. J. 48 (1981), 633-648.