Serge Lang is one of the top mathematicians of our time. Part of a four-volume set, this resource collects key research papers written by Lang and highlight the innumerable contributions he made in diverse fields in mathematics.

Serge Lang is one of the top mathematicians of our time. Being an excellent writer, Lang has made innumerable contributions in diverse fields in mathematics and they are invaluable. He was honored with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. In these four volumes 83 of his research papers are collected. They range over a variety of topics and will be of interest to many readers.

Integrates classic material Authored by the winner of the Cole prize Historical significance

Inhalt
[1978a] The p-Primary Component of the Cuspidal Divisor Class Group on the Modular Curve X(p) (with D. Kubert).- [1978b] Units in the Modular Function Field V: Iwasawa Theory in the Modular Tower (with D. Kubert).- [1978c] Stickelberger Ideals (with D. Kubert).- [1978d] The Index of Stickelberger Ideals of Order 2 and Cuspidal Class Numbers (with D. Kubert).- [1978e] Relations de Distributions et Exemples Classiques.- [1979a] Cartan-Bernoulli Numbers as Values of L-Series (with D. Kubert).- [1979b] Independence of Modular Units on Tate Curves (with D. Kubert).- [1979c] Modular Units inside Cyclotomic Units (with D. Kubert).- [1981a] Finiteness Theorems in Geometric Class Field Theory (with N. Katz).- [1982a] Représentations Localement Algébriques dans les Corps Cyclotomiques.- [1982b] Units and Class Groups in Number Theory and Algebraic Theory.- [1983] Conjectured Diophantine Estimates on Elliptic Curves.- [1984a] Vojta's Conjecture.- [1984b] Variétés Hyperboliques et Analyse Diophantienne.- [1986a] Hyperbolic and Diophantine Analysis.- [1987a] Diophantine Problems in Complex Hyperbolic Analysis.- [1988] The Error Term in Nevanlinna Theory.- [1990a] The Error Term in Nevanlinna Theory II.- [1990b] Old and New Conjectured Diophantine Inequalities.