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Mathematics - Number Theory and Discrete Mathematics | Collected Papers III - 1978–1990

Collected Papers III

1978–1990

Lang, Serge

2000. Reprint 2013 of the 2000 edition, XVI, 393 p. 28 illus.

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  • Integrates classic material
  • Authored by the winner of the Cole prize
  • Historical significance
Serge Lang (1927-2005) was one of the top mathematicians of our time. He was born in Paris in 1927, and moved with his family to California, where he graduated from Beverly Hills High School in 1943. He subsequently graduated from California Institute of Technology  in 1946, and received a doctorate from Princeton University in 1951 before holding faculty positions at the University of Chicago and Columbia University (1955-1971). At the time of his death he was professor emeritus of Mathematics at Yale University.

An excellent writer, Lang has made innumerable and invaluable contributions in diverse fields of mathematics. He was perhaps best known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was also a member of the Bourbaki group.

He was honored with the Cole Prize by the American Mathematical Society as well as with the Prix Carrière by the French Academy of Sciences. These five volumes collect the majority of his research papers, which range over a variety of topics.

Content Level » Research

Keywords » Algebraic Geometry - calculus - modular curve - modular form - number theory

Related subjects » Algebra - Number Theory and Discrete Mathematics

Table of contents 

[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.

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